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

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


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

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

Solving
12 + -6x = 8 + 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 + -6x + -2x = 8 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
12 + -8x = 8 + 0
12 + -8x = 8

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

Combine like terms: 12 + -12 = 0
0 + -8x = 8 + -12
-8x = 8 + -12

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

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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