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

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


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

Reorder the terms:
8(8 + x) = 7(x + -2)
(8 * 8 + x * 8) = 7(x + -2)
(64 + 8x) = 7(x + -2)

Reorder the terms:
64 + 8x = 7(-2 + x)
64 + 8x = (-2 * 7 + x * 7)
64 + 8x = (-14 + 7x)

Solving
64 + 8x = -14 + 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.
64 + 8x + -7x = -14 + 7x + -7x

Combine like terms: 8x + -7x = 1x
64 + 1x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
64 + 1x = -14 + 0
64 + 1x = -14

Add '-64' to each side of the equation.
64 + -64 + 1x = -14 + -64

Combine like terms: 64 + -64 = 0
0 + 1x = -14 + -64
1x = -14 + -64

Combine like terms: -14 + -64 = -78
1x = -78

Divide each side by '1'.
x = -78

Simplifying
x = -78

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