-(x-7)=3x+8

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Solution for -(x-7)=3x+8 equation:


Simplifying
-1(x + -7) = 3x + 8

Reorder the terms:
-1(-7 + x) = 3x + 8
(-7 * -1 + x * -1) = 3x + 8
(7 + -1x) = 3x + 8

Reorder the terms:
7 + -1x = 8 + 3x

Solving
7 + -1x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
7 + -1x + -3x = 8 + 3x + -3x

Combine like terms: -1x + -3x = -4x
7 + -4x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -4x = 8 + 0
7 + -4x = 8

Add '-7' to each side of the equation.
7 + -7 + -4x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 8 + -7
-4x = 8 + -7

Combine like terms: 8 + -7 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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