8(x-8)=-8+6(x-4)

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Solution for 8(x-8)=-8+6(x-4) equation:


Simplifying
8(x + -8) = -8 + 6(x + -4)

Reorder the terms:
8(-8 + x) = -8 + 6(x + -4)
(-8 * 8 + x * 8) = -8 + 6(x + -4)
(-64 + 8x) = -8 + 6(x + -4)

Reorder the terms:
-64 + 8x = -8 + 6(-4 + x)
-64 + 8x = -8 + (-4 * 6 + x * 6)
-64 + 8x = -8 + (-24 + 6x)

Combine like terms: -8 + -24 = -32
-64 + 8x = -32 + 6x

Solving
-64 + 8x = -32 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-64 + 8x + -6x = -32 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-64 + 2x = -32 + 6x + -6x

Combine like terms: 6x + -6x = 0
-64 + 2x = -32 + 0
-64 + 2x = -32

Add '64' to each side of the equation.
-64 + 64 + 2x = -32 + 64

Combine like terms: -64 + 64 = 0
0 + 2x = -32 + 64
2x = -32 + 64

Combine like terms: -32 + 64 = 32
2x = 32

Divide each side by '2'.
x = 16

Simplifying
x = 16

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