4(3x+2)-2(x-2)=32

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Solution for 4(3x+2)-2(x-2)=32 equation:


Simplifying
4(3x + 2) + -2(x + -2) = 32

Reorder the terms:
4(2 + 3x) + -2(x + -2) = 32
(2 * 4 + 3x * 4) + -2(x + -2) = 32
(8 + 12x) + -2(x + -2) = 32

Reorder the terms:
8 + 12x + -2(-2 + x) = 32
8 + 12x + (-2 * -2 + x * -2) = 32
8 + 12x + (4 + -2x) = 32

Reorder the terms:
8 + 4 + 12x + -2x = 32

Combine like terms: 8 + 4 = 12
12 + 12x + -2x = 32

Combine like terms: 12x + -2x = 10x
12 + 10x = 32

Solving
12 + 10x = 32

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 10x = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = 32 + -12
10x = 32 + -12

Combine like terms: 32 + -12 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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