2(-3x+4)-3(3-3x)=44

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Solution for 2(-3x+4)-3(3-3x)=44 equation: 


Simplifying
2(-3x + 4) + -3(3 + -3x) = 44

Reorder the terms:
2(4 + -3x) + -3(3 + -3x) = 44
(4 * 2 + -3x * 2) + -3(3 + -3x) = 44
(8 + -6x) + -3(3 + -3x) = 44
8 + -6x + (3 * -3 + -3x * -3) = 44
8 + -6x + (-9 + 9x) = 44

Reorder the terms:
8 + -9 + -6x + 9x = 44

Combine like terms: 8 + -9 = -1
-1 + -6x + 9x = 44

Combine like terms: -6x + 9x = 3x
-1 + 3x = 44

Solving
-1 + 3x = 44

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 3x = 44 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 44 + 1
3x = 44 + 1

Combine like terms: 44 + 1 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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