3(x-2)+2(x+11)=-14

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Solution for 3(x-2)+2(x+11)=-14 equation:


Simplifying
3(x + -2) + 2(x + 11) = -14

Reorder the terms:
3(-2 + x) + 2(x + 11) = -14
(-2 * 3 + x * 3) + 2(x + 11) = -14
(-6 + 3x) + 2(x + 11) = -14

Reorder the terms:
-6 + 3x + 2(11 + x) = -14
-6 + 3x + (11 * 2 + x * 2) = -14
-6 + 3x + (22 + 2x) = -14

Reorder the terms:
-6 + 22 + 3x + 2x = -14

Combine like terms: -6 + 22 = 16
16 + 3x + 2x = -14

Combine like terms: 3x + 2x = 5x
16 + 5x = -14

Solving
16 + 5x = -14

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x = -14 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = -14 + -16
5x = -14 + -16

Combine like terms: -14 + -16 = -30
5x = -30

Divide each side by '5'.
x = -6

Simplifying
x = -6

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