To solve for x, we want to isolate x on one side of the equation.
First, we can simplify both sides by combining like terms.
x - 5 = 11 - 3x
4x - 5 = 11
Next, we can add 5 to both sides to get rid of the -5 on the left side.
4x = 16
Finally, we can divide both sides by 4 to solve for x.
x = 4
Therefore, the solution to the equation x - 5 = 11 - 3x is x = 4.
x-5=11-3x
7 answers
3-(2-x)=2+3x
Let's first simplify both sides of the equation by combining like terms.
Starting with the left side:
3 - (2 - x)
= 3 - 2 + x (distributing the negative sign)
= 1 + x
Now, let's simplify the right side:
2 + 3x
The equation now becomes:
1 + x = 2 + 3x
To solve for x, we need to isolate the variable on one side of the equation. Let's start by moving all the terms with x to one side:
1 + x - 3x = 2
Simplifying further:
-2x + 1 = 2
Subtracting 1 from both sides:
-2x = 1
Dividing by -2:
x = -1/2
Therefore the solution to the equation 3-(2-x)=2+3x is x = -1/2.
Starting with the left side:
3 - (2 - x)
= 3 - 2 + x (distributing the negative sign)
= 1 + x
Now, let's simplify the right side:
2 + 3x
The equation now becomes:
1 + x = 2 + 3x
To solve for x, we need to isolate the variable on one side of the equation. Let's start by moving all the terms with x to one side:
1 + x - 3x = 2
Simplifying further:
-2x + 1 = 2
Subtracting 1 from both sides:
-2x = 1
Dividing by -2:
x = -1/2
Therefore the solution to the equation 3-(2-x)=2+3x is x = -1/2.
7 5/6m+n-3 1/2m-1 1/5n
We can simplify the expression by combining like terms.
First, let's simplify the terms with m:
7 5/6m - 3 1/2m
= (7m + 5/6m) - (3m + 1/2m)
= 7 1/3m
Next, let's simplify the terms with n:
n - 1 1/5n
= (1 - 1/5)n - 1
= 4/5n - 1
Now we can put the simplified terms together:
7 1/3m + (4/5n - 1)
= 7 1/3m + 4/5n - 1
Therefore, the simplified expression is 7 1/3m + 4/5n - 1.
First, let's simplify the terms with m:
7 5/6m - 3 1/2m
= (7m + 5/6m) - (3m + 1/2m)
= 7 1/3m
Next, let's simplify the terms with n:
n - 1 1/5n
= (1 - 1/5)n - 1
= 4/5n - 1
Now we can put the simplified terms together:
7 1/3m + (4/5n - 1)
= 7 1/3m + 4/5n - 1
Therefore, the simplified expression is 7 1/3m + 4/5n - 1.
7 5/6m+n-3 1/2m-1n-1/5n
To simplify the expression, we can follow the order of operations, which is parentheses first, then multiplication and division from left to right, and finally addition and subtraction from left to right.
7 5/6m + n - 3 1/2m - 1n - 1/5n
First, we can combine the terms with "m" and "n" separately:
= (7 5/6m - 3 1/2m) + (n - 1n - 1/5n)
Simplifying further:
= (7m + 5/6m - 3m - 1/2m) + (n - n - 1/5n)
= (4 1/3m) - (1/5n)
Then, we can simplify the expression by finding a common denominator for the fractions:
= (4 1/3m) - (1/5n)
= (4 * 3/3 + 1/3)m - (1/5n)
= 12 1/3m - (1/5n)
Therefore, the simplified expression is 12 1/3m - (1/5n).
7 5/6m + n - 3 1/2m - 1n - 1/5n
First, we can combine the terms with "m" and "n" separately:
= (7 5/6m - 3 1/2m) + (n - 1n - 1/5n)
Simplifying further:
= (7m + 5/6m - 3m - 1/2m) + (n - n - 1/5n)
= (4 1/3m) - (1/5n)
Then, we can simplify the expression by finding a common denominator for the fractions:
= (4 1/3m) - (1/5n)
= (4 * 3/3 + 1/3)m - (1/5n)
= 12 1/3m - (1/5n)
Therefore, the simplified expression is 12 1/3m - (1/5n).