Solve for x.

7(x+5)=-6x-17
Simplify your answer as much as possible.

9 answers

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.
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.
Solve for w.
-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.
Solve for u.
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.
Solve for x.
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.
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