2x-12(x-3)=4(5-2x)

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Solution for 2x-12(x-3)=4(5-2x) equation: 


Simplifying
2x + -12(x + -3) = 4(5 + -2x)

Reorder the terms:
2x + -12(-3 + x) = 4(5 + -2x)
2x + (-3 * -12 + x * -12) = 4(5 + -2x)
2x + (36 + -12x) = 4(5 + -2x)

Reorder the terms:
36 + 2x + -12x = 4(5 + -2x)

Combine like terms: 2x + -12x = -10x
36 + -10x = 4(5 + -2x)
36 + -10x = (5 * 4 + -2x * 4)
36 + -10x = (20 + -8x)

Solving
36 + -10x = 20 + -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.
36 + -10x + 8x = 20 + -8x + 8x

Combine like terms: -10x + 8x = -2x
36 + -2x = 20 + -8x + 8x

Combine like terms: -8x + 8x = 0
36 + -2x = 20 + 0
36 + -2x = 20

Add '-36' to each side of the equation.
36 + -36 + -2x = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = 20 + -36
-2x = 20 + -36

Combine like terms: 20 + -36 = -16
-2x = -16

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

Simplifying
x = 8

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