3(x-4)-2(x+1)-13=-18

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Solution for 3(x-4)-2(x+1)-13=-18 equation:


Simplifying
3(x + -4) + -2(x + 1) + -13 = -18

Reorder the terms:
3(-4 + x) + -2(x + 1) + -13 = -18
(-4 * 3 + x * 3) + -2(x + 1) + -13 = -18
(-12 + 3x) + -2(x + 1) + -13 = -18

Reorder the terms:
-12 + 3x + -2(1 + x) + -13 = -18
-12 + 3x + (1 * -2 + x * -2) + -13 = -18
-12 + 3x + (-2 + -2x) + -13 = -18

Reorder the terms:
-12 + -2 + -13 + 3x + -2x = -18

Combine like terms: -12 + -2 = -14
-14 + -13 + 3x + -2x = -18

Combine like terms: -14 + -13 = -27
-27 + 3x + -2x = -18

Combine like terms: 3x + -2x = 1x
-27 + 1x = -18

Solving
-27 + 1x = -18

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 = -18 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -18 + 27
1x = -18 + 27

Combine like terms: -18 + 27 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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