7(x-8)=-7(x-8)

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


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

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

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

Solving
-56 + 7x = 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.
-56 + 7x + 7x = 56 + -7x + 7x

Combine like terms: 7x + 7x = 14x
-56 + 14x = 56 + -7x + 7x

Combine like terms: -7x + 7x = 0
-56 + 14x = 56 + 0
-56 + 14x = 56

Add '56' to each side of the equation.
-56 + 56 + 14x = 56 + 56

Combine like terms: -56 + 56 = 0
0 + 14x = 56 + 56
14x = 56 + 56

Combine like terms: 56 + 56 = 112
14x = 112

Divide each side by '14'.
x = 8

Simplifying
x = 8

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