x-8=-4x+7

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Solution for x-8=-4x+7 equation:


Simplifying
x + -8 = -4x + 7

Reorder the terms:
-8 + x = -4x + 7

Reorder the terms:
-8 + x = 7 + -4x

Solving
-8 + x = 7 + -4x

Solving for variable 'x'.

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

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

Combine like terms: x + 4x = 5x
-8 + 5x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 5x = 7 + 0
-8 + 5x = 7

Add '8' to each side of the equation.
-8 + 8 + 5x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 7 + 8
5x = 7 + 8

Combine like terms: 7 + 8 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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