2(x-9)-5(x+6)=-12

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Solution for 2(x-9)-5(x+6)=-12 equation:


Simplifying
2(x + -9) + -5(x + 6) = -12

Reorder the terms:
2(-9 + x) + -5(x + 6) = -12
(-9 * 2 + x * 2) + -5(x + 6) = -12
(-18 + 2x) + -5(x + 6) = -12

Reorder the terms:
-18 + 2x + -5(6 + x) = -12
-18 + 2x + (6 * -5 + x * -5) = -12
-18 + 2x + (-30 + -5x) = -12

Reorder the terms:
-18 + -30 + 2x + -5x = -12

Combine like terms: -18 + -30 = -48
-48 + 2x + -5x = -12

Combine like terms: 2x + -5x = -3x
-48 + -3x = -12

Solving
-48 + -3x = -12

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 48 + -3x = -12 + 48

Combine like terms: -48 + 48 = 0
0 + -3x = -12 + 48
-3x = -12 + 48

Combine like terms: -12 + 48 = 36
-3x = 36

Divide each side by '-3'.
x = -12

Simplifying
x = -12

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