8+2(x-8)=8-7(x-8)

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Solution for 8+2(x-8)=8-7(x-8) equation:


Simplifying
8 + 2(x + -8) = 8 + -7(x + -8)

Reorder the terms:
8 + 2(-8 + x) = 8 + -7(x + -8)
8 + (-8 * 2 + x * 2) = 8 + -7(x + -8)
8 + (-16 + 2x) = 8 + -7(x + -8)

Combine like terms: 8 + -16 = -8
-8 + 2x = 8 + -7(x + -8)

Reorder the terms:
-8 + 2x = 8 + -7(-8 + x)
-8 + 2x = 8 + (-8 * -7 + x * -7)
-8 + 2x = 8 + (56 + -7x)

Combine like terms: 8 + 56 = 64
-8 + 2x = 64 + -7x

Solving
-8 + 2x = 64 + -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 + 2x + 7x = 64 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-8 + 9x = 64 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 9x = 64 + 0
-8 + 9x = 64

Add '8' to each side of the equation.
-8 + 8 + 9x = 64 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 64 + 8
9x = 64 + 8

Combine like terms: 64 + 8 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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