x-8=-7x+56

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Solution for x-8=-7x+56 equation:


Simplifying
x + -8 = -7x + 56

Reorder the terms:
-8 + x = -7x + 56

Reorder the terms:
-8 + x = 56 + -7x

Solving
-8 + x = 56 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-8 + x + 7x = 56 + -7x + 7x

Combine like terms: x + 7x = 8x
-8 + 8x = 56 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 8x = 56 + 0
-8 + 8x = 56

Add '8' to each side of the equation.
-8 + 8 + 8x = 56 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 56 + 8
8x = 56 + 8

Combine like terms: 56 + 8 = 64
8x = 64

Divide each side by '8'.
x = 8

Simplifying
x = 8

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