(3x-12)-2x+(-2)-13=-20

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Solution for (3x-12)-2x+(-2)-13=-20 equation:


Simplifying
(3x + -12) + -2x + (-2) + -13 = -20

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

Remove parenthesis around (-12 + 3x)
-12 + 3x + -2x + (-2) + -13 = -20
-12 + 3x + -2x + -2 + -13 = -20

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

Combine like terms: -12 + -2 = -14
-14 + -13 + 3x + -2x = -20

Combine like terms: -14 + -13 = -27
-27 + 3x + -2x = -20

Combine like terms: 3x + -2x = 1x
-27 + 1x = -20

Solving
-27 + 1x = -20

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 1x = -20 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -20 + 27
1x = -20 + 27

Combine like terms: -20 + 27 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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