6(x-12)=8(x+12)

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Solution for 6(x-12)=8(x+12) equation:


Simplifying
6(x + -12) = 8(x + 12)

Reorder the terms:
6(-12 + x) = 8(x + 12)
(-12 * 6 + x * 6) = 8(x + 12)
(-72 + 6x) = 8(x + 12)

Reorder the terms:
-72 + 6x = 8(12 + x)
-72 + 6x = (12 * 8 + x * 8)
-72 + 6x = (96 + 8x)

Solving
-72 + 6x = 96 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-72 + 6x + -8x = 96 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-72 + -2x = 96 + 8x + -8x

Combine like terms: 8x + -8x = 0
-72 + -2x = 96 + 0
-72 + -2x = 96

Add '72' to each side of the equation.
-72 + 72 + -2x = 96 + 72

Combine like terms: -72 + 72 = 0
0 + -2x = 96 + 72
-2x = 96 + 72

Combine like terms: 96 + 72 = 168
-2x = 168

Divide each side by '-2'.
x = -84

Simplifying
x = -84

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