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

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


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

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

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

Reorder the terms:
-6 + -3 + 2x + 3x = -12

Combine like terms: -6 + -3 = -9
-9 + 2x + 3x = -12

Combine like terms: 2x + 3x = 5x
-9 + 5x = -12

Solving
-9 + 5x = -12

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 5x = -12 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = -12 + 9
5x = -12 + 9

Combine like terms: -12 + 9 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6

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