4x-82=-x-7

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Solution for 4x-82=-x-7 equation:


Simplifying
4x + -82 = -1x + -7

Reorder the terms:
-82 + 4x = -1x + -7

Reorder the terms:
-82 + 4x = -7 + -1x

Solving
-82 + 4x = -7 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-82 + 4x + x = -7 + -1x + x

Combine like terms: 4x + x = 5x
-82 + 5x = -7 + -1x + x

Combine like terms: -1x + x = 0
-82 + 5x = -7 + 0
-82 + 5x = -7

Add '82' to each side of the equation.
-82 + 82 + 5x = -7 + 82

Combine like terms: -82 + 82 = 0
0 + 5x = -7 + 82
5x = -7 + 82

Combine like terms: -7 + 82 = 75
5x = 75

Divide each side by '5'.
x = 15

Simplifying
x = 15

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