8(x-4)=-2(x+6)

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Solution for 8(x-4)=-2(x+6) equation:


Simplifying
8(x + -4) = -2(x + 6)

Reorder the terms:
8(-4 + x) = -2(x + 6)
(-4 * 8 + x * 8) = -2(x + 6)
(-32 + 8x) = -2(x + 6)

Reorder the terms:
-32 + 8x = -2(6 + x)
-32 + 8x = (6 * -2 + x * -2)
-32 + 8x = (-12 + -2x)

Solving
-32 + 8x = -12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-32 + 8x + 2x = -12 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-32 + 10x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-32 + 10x = -12 + 0
-32 + 10x = -12

Add '32' to each side of the equation.
-32 + 32 + 10x = -12 + 32

Combine like terms: -32 + 32 = 0
0 + 10x = -12 + 32
10x = -12 + 32

Combine like terms: -12 + 32 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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