3(x-4)-2(x+2)-13=-20

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Solution for 3(x-4)-2(x+2)-13=-20 equation: 


Simplifying
3(x + -4) + -2(x + 2) + -13 = -20

Reorder the terms:
3(-4 + x) + -2(x + 2) + -13 = -20
(-4 * 3 + x * 3) + -2(x + 2) + -13 = -20
(-12 + 3x) + -2(x + 2) + -13 = -20

Reorder the terms:
-12 + 3x + -2(2 + x) + -13 = -20
-12 + 3x + (2 * -2 + x * -2) + -13 = -20
-12 + 3x + (-4 + -2x) + -13 = -20

Reorder the terms:
-12 + -4 + -13 + 3x + -2x = -20

Combine like terms: -12 + -4 = -16
-16 + -13 + 3x + -2x = -20

Combine like terms: -16 + -13 = -29
-29 + 3x + -2x = -20

Combine like terms: 3x + -2x = 1x
-29 + 1x = -20

Solving
-29 + 1x = -20

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 1x = -20 + 29

Combine like terms: -29 + 29 = 0
0 + 1x = -20 + 29
1x = -20 + 29

Combine like terms: -20 + 29 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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