-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 = -10x
12 + -10x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -10x = -4 + 0
12 + -10x = -4

Add '-12' to each side of the equation.
12 + -12 + -10x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = -4 + -12
-10x = -4 + -12

Combine like terms: -4 + -12 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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