4(2-3x)+2(x+1)=12

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Solution for 4(2-3x)+2(x+1)=12 equation: 


Simplifying
4(2 + -3x) + 2(x + 1) = 12
(2 * 4 + -3x * 4) + 2(x + 1) = 12
(8 + -12x) + 2(x + 1) = 12

Reorder the terms:
8 + -12x + 2(1 + x) = 12
8 + -12x + (1 * 2 + x * 2) = 12
8 + -12x + (2 + 2x) = 12

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

Combine like terms: 8 + 2 = 10
10 + -12x + 2x = 12

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

Solving
10 + -10x = 12

Solving for variable 'x'.

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

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

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

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

Divide each side by '-10'.
x = -0.2

Simplifying
x = -0.2

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