3(x+8)-2(x-4)=12

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Solution for 3(x+8)-2(x-4)=12 equation: 


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

Reorder the terms:
3(8 + x) + -2(x + -4) = 12
(8 * 3 + x * 3) + -2(x + -4) = 12
(24 + 3x) + -2(x + -4) = 12

Reorder the terms:
24 + 3x + -2(-4 + x) = 12
24 + 3x + (-4 * -2 + x * -2) = 12
24 + 3x + (8 + -2x) = 12

Reorder the terms:
24 + 8 + 3x + -2x = 12

Combine like terms: 24 + 8 = 32
32 + 3x + -2x = 12

Combine like terms: 3x + -2x = 1x
32 + 1x = 12

Solving
32 + 1x = 12

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 1x = 12 + -32

Combine like terms: 32 + -32 = 0
0 + 1x = 12 + -32
1x = 12 + -32

Combine like terms: 12 + -32 = -20
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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