12(3-2x)=2(10-8x)

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Solution for 12(3-2x)=2(10-8x) equation: 


Simplifying
12(3 + -2x) = 2(10 + -8x)
(3 * 12 + -2x * 12) = 2(10 + -8x)
(36 + -24x) = 2(10 + -8x)
36 + -24x = (10 * 2 + -8x * 2)
36 + -24x = (20 + -16x)

Solving
36 + -24x = 20 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
36 + -24x + 16x = 20 + -16x + 16x

Combine like terms: -24x + 16x = -8x
36 + -8x = 20 + -16x + 16x

Combine like terms: -16x + 16x = 0
36 + -8x = 20 + 0
36 + -8x = 20

Add '-36' to each side of the equation.
36 + -36 + -8x = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -8x = 20 + -36
-8x = 20 + -36

Combine like terms: 20 + -36 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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