7x+8=64-x

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Solution for 7x+8=64-x equation:


Simplifying
7x + 8 = 64 + -1x

Reorder the terms:
8 + 7x = 64 + -1x

Solving
8 + 7x = 64 + -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.
8 + 7x + x = 64 + -1x + x

Combine like terms: 7x + x = 8x
8 + 8x = 64 + -1x + x

Combine like terms: -1x + x = 0
8 + 8x = 64 + 0
8 + 8x = 64

Add '-8' to each side of the equation.
8 + -8 + 8x = 64 + -8

Combine like terms: 8 + -8 = 0
0 + 8x = 64 + -8
8x = 64 + -8

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

Divide each side by '8'.
x = 7

Simplifying
x = 7

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