8(3x-17)=12(15-6x)

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Solution for 8(3x-17)=12(15-6x) equation: 


Simplifying
8(3x + -17) = 12(15 + -6x)

Reorder the terms:
8(-17 + 3x) = 12(15 + -6x)
(-17 * 8 + 3x * 8) = 12(15 + -6x)
(-136 + 24x) = 12(15 + -6x)
-136 + 24x = (15 * 12 + -6x * 12)
-136 + 24x = (180 + -72x)

Solving
-136 + 24x = 180 + -72x

Solving for variable 'x'.

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

Add '72x' to each side of the equation.
-136 + 24x + 72x = 180 + -72x + 72x

Combine like terms: 24x + 72x = 96x
-136 + 96x = 180 + -72x + 72x

Combine like terms: -72x + 72x = 0
-136 + 96x = 180 + 0
-136 + 96x = 180

Add '136' to each side of the equation.
-136 + 136 + 96x = 180 + 136

Combine like terms: -136 + 136 = 0
0 + 96x = 180 + 136
96x = 180 + 136

Combine like terms: 180 + 136 = 316
96x = 316

Divide each side by '96'.
x = 3.291666667

Simplifying
x = 3.291666667

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