2x-3(4-2x)=2(x-3)+2

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


Simplifying
2x + -3(4 + -2x) = 2(x + -3) + 2
2x + (4 * -3 + -2x * -3) = 2(x + -3) + 2
2x + (-12 + 6x) = 2(x + -3) + 2

Reorder the terms:
-12 + 2x + 6x = 2(x + -3) + 2

Combine like terms: 2x + 6x = 8x
-12 + 8x = 2(x + -3) + 2

Reorder the terms:
-12 + 8x = 2(-3 + x) + 2
-12 + 8x = (-3 * 2 + x * 2) + 2
-12 + 8x = (-6 + 2x) + 2

Reorder the terms:
-12 + 8x = -6 + 2 + 2x

Combine like terms: -6 + 2 = -4
-12 + 8x = -4 + 2x

Solving
-12 + 8x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 8x + -2x = -4 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-12 + 6x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 6x = -4 + 0
-12 + 6x = -4

Add '12' to each side of the equation.
-12 + 12 + 6x = -4 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = -4 + 12
6x = -4 + 12

Combine like terms: -4 + 12 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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