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

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


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

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

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

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

Combine like terms: -6 + -2 = -8
-8 + 3x + 2x = -14

Combine like terms: 3x + 2x = 5x
-8 + 5x = -14

Solving
-8 + 5x = -14

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = -14 + 8
5x = -14 + 8

Combine like terms: -14 + 8 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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