12(x-7)=8x-16

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Solution for 12(x-7)=8x-16 equation:


Simplifying
12(x + -7) = 8x + -16

Reorder the terms:
12(-7 + x) = 8x + -16
(-7 * 12 + x * 12) = 8x + -16
(-84 + 12x) = 8x + -16

Reorder the terms:
-84 + 12x = -16 + 8x

Solving
-84 + 12x = -16 + 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.
-84 + 12x + -8x = -16 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-84 + 4x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
-84 + 4x = -16 + 0
-84 + 4x = -16

Add '84' to each side of the equation.
-84 + 84 + 4x = -16 + 84

Combine like terms: -84 + 84 = 0
0 + 4x = -16 + 84
4x = -16 + 84

Combine like terms: -16 + 84 = 68
4x = 68

Divide each side by '4'.
x = 17

Simplifying
x = 17

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