3(x-2)+12(x+1)=-14

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Solution for 3(x-2)+12(x+1)=-14 equation:


Simplifying
3(x + -2) + 12(x + 1) = -14

Reorder the terms:
3(-2 + x) + 12(x + 1) = -14
(-2 * 3 + x * 3) + 12(x + 1) = -14
(-6 + 3x) + 12(x + 1) = -14

Reorder the terms:
-6 + 3x + 12(1 + x) = -14
-6 + 3x + (1 * 12 + x * 12) = -14
-6 + 3x + (12 + 12x) = -14

Reorder the terms:
-6 + 12 + 3x + 12x = -14

Combine like terms: -6 + 12 = 6
6 + 3x + 12x = -14

Combine like terms: 3x + 12x = 15x
6 + 15x = -14

Solving
6 + 15x = -14

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 15x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = -14 + -6
15x = -14 + -6

Combine like terms: -14 + -6 = -20
15x = -20

Divide each side by '15'.
x = -1.333333333

Simplifying
x = -1.333333333

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