To solve the equation, we will first distribute on both sides:
7(x+5) = -6x - 17
7x + 35 = -6x - 17
Next, we will gather all the variables on one side and the constants on the other side:
7x + 6x = -17 - 35
13x = -52
Now, we can solve for x by dividing both sides of the equation by 13:
x = -52 / 13
Simplifying the fraction, we get:
x = -4
Therefore, the solution to the equation is x = -4.
Solve for x.
7(x+5)=-6x-17
Simplify your answer as much as possible.
9 answers
u sure
Apologies for the confusion. Let's go through the steps again to make sure we don't make any mistakes.
Starting from the given equation:
7(x+5) = -6x - 17
Expanding the parentheses:
7x + 35 = -6x - 17
Next, let's gather all the variables on one side and the constants on the other side:
7x + 6x = -17 - 35
Combining like terms:
13x = -52
Now, we can solve for x by dividing both sides by 13:
x = -52 / 13
Simplifying the fraction:
x = -4
Therefore, the solution to the equation is indeed x = -4.
Starting from the given equation:
7(x+5) = -6x - 17
Expanding the parentheses:
7x + 35 = -6x - 17
Next, let's gather all the variables on one side and the constants on the other side:
7x + 6x = -17 - 35
Combining like terms:
13x = -52
Now, we can solve for x by dividing both sides by 13:
x = -52 / 13
Simplifying the fraction:
x = -4
Therefore, the solution to the equation is indeed x = -4.
Solve for w.
-3w-38=4(w+1)
Simplify your answer as much as possible.
-3w-38=4(w+1)
Simplify your answer as much as possible.
To solve the equation, we will first distribute on the right side:
-3w - 38 = 4w + 4
Next, we will gather all the variables on one side and the constants on the other side:
-3w - 4w = 4 + 38
Combining like terms:
-7w = 42
Now, we can solve for w by dividing both sides of the equation by -7:
w = 42 / -7
Simplifying the fraction:
w = -6
Therefore, the solution to the equation is w = -6.
-3w - 38 = 4w + 4
Next, we will gather all the variables on one side and the constants on the other side:
-3w - 4w = 4 + 38
Combining like terms:
-7w = 42
Now, we can solve for w by dividing both sides of the equation by -7:
w = 42 / -7
Simplifying the fraction:
w = -6
Therefore, the solution to the equation is w = -6.
Solve for u.
u+1/4=-5/8
Simplify your answer as much as possible.
u+1/4=-5/8
Simplify your answer as much as possible.
To solve the equation, we'll first isolate the variable u.
Starting with the given equation:
u + 1/4 = -5/8
We want to get rid of the 1/4 on the left side, so we'll subtract 1/4 from both sides:
u + 1/4 - 1/4 = -5/8 - 1/4
On the left side, 1/4 - 1/4 simplifies to 0, so we're left with:
u = -5/8 - 1/4
To add the fractions on the right side together, we need a common denominator. The least common multiple of 8 and 4 is 8, so we'll rewrite the fractions with 8 as the denominator:
u = -5/8 - 2/8
Now that the fractions have the same denominator, we can combine them:
u = (-5 - 2)/8
Simplifying the numerator:
u = -7/8
Therefore, the solution to the equation is u = -7/8.
Starting with the given equation:
u + 1/4 = -5/8
We want to get rid of the 1/4 on the left side, so we'll subtract 1/4 from both sides:
u + 1/4 - 1/4 = -5/8 - 1/4
On the left side, 1/4 - 1/4 simplifies to 0, so we're left with:
u = -5/8 - 1/4
To add the fractions on the right side together, we need a common denominator. The least common multiple of 8 and 4 is 8, so we'll rewrite the fractions with 8 as the denominator:
u = -5/8 - 2/8
Now that the fractions have the same denominator, we can combine them:
u = (-5 - 2)/8
Simplifying the numerator:
u = -7/8
Therefore, the solution to the equation is u = -7/8.
Solve for x.
2/5=x+4
Simplify your answer as much as possible.
2/5=x+4
Simplify your answer as much as possible.
To solve for x, we will isolate the variable by performing the necessary operations.
Starting with the given equation:
2/5 = x + 4
We want to isolate x, so we'll subtract 4 from both sides:
2/5 - 4 = x + 4 - 4
Calculating the left side:
2/5 - 20/5 = x
Combining the fractions:
-18/5 = x
Therefore, the solution to the equation is x = -18/5 or -3.6 in decimal form.
Starting with the given equation:
2/5 = x + 4
We want to isolate x, so we'll subtract 4 from both sides:
2/5 - 4 = x + 4 - 4
Calculating the left side:
2/5 - 20/5 = x
Combining the fractions:
-18/5 = x
Therefore, the solution to the equation is x = -18/5 or -3.6 in decimal form.