9(x-3)-3(x+4)=33

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Solution for 9(x-3)-3(x+4)=33 equation: 


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

Reorder the terms:
9(-3 + x) + -3(x + 4) = 33
(-3 * 9 + x * 9) + -3(x + 4) = 33
(-27 + 9x) + -3(x + 4) = 33

Reorder the terms:
-27 + 9x + -3(4 + x) = 33
-27 + 9x + (4 * -3 + x * -3) = 33
-27 + 9x + (-12 + -3x) = 33

Reorder the terms:
-27 + -12 + 9x + -3x = 33

Combine like terms: -27 + -12 = -39
-39 + 9x + -3x = 33

Combine like terms: 9x + -3x = 6x
-39 + 6x = 33

Solving
-39 + 6x = 33

Solving for variable 'x'.

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

Add '39' to each side of the equation.
-39 + 39 + 6x = 33 + 39

Combine like terms: -39 + 39 = 0
0 + 6x = 33 + 39
6x = 33 + 39

Combine like terms: 33 + 39 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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