-3(x-4)=33-6x

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Solution for -3(x-4)=33-6x equation:


Simplifying
-3(x + -4) = 33 + -6x

Reorder the terms:
-3(-4 + x) = 33 + -6x
(-4 * -3 + x * -3) = 33 + -6x
(12 + -3x) = 33 + -6x

Solving
12 + -3x = 33 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
12 + -3x + 6x = 33 + -6x + 6x

Combine like terms: -3x + 6x = 3x
12 + 3x = 33 + -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 3x = 33 + 0
12 + 3x = 33

Add '-12' to each side of the equation.
12 + -12 + 3x = 33 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 33 + -12
3x = 33 + -12

Combine like terms: 33 + -12 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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