6(3x-2)-(-15x+33)=-12

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Solution for 6(3x-2)-(-15x+33)=-12 equation:


Simplifying
6(3x + -2) + -1(-15x + 33) = -12

Reorder the terms:
6(-2 + 3x) + -1(-15x + 33) = -12
(-2 * 6 + 3x * 6) + -1(-15x + 33) = -12
(-12 + 18x) + -1(-15x + 33) = -12

Reorder the terms:
-12 + 18x + -1(33 + -15x) = -12
-12 + 18x + (33 * -1 + -15x * -1) = -12
-12 + 18x + (-33 + 15x) = -12

Reorder the terms:
-12 + -33 + 18x + 15x = -12

Combine like terms: -12 + -33 = -45
-45 + 18x + 15x = -12

Combine like terms: 18x + 15x = 33x
-45 + 33x = -12

Solving
-45 + 33x = -12

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 33x = -12 + 45

Combine like terms: -45 + 45 = 0
0 + 33x = -12 + 45
33x = -12 + 45

Combine like terms: -12 + 45 = 33
33x = 33

Divide each side by '33'.
x = 1

Simplifying
x = 1

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