3(3+2x)-5(2x-3)=120

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Solution for 3(3+2x)-5(2x-3)=120 equation: 


Simplifying
3(3 + 2x) + -5(2x + -3) = 120
(3 * 3 + 2x * 3) + -5(2x + -3) = 120
(9 + 6x) + -5(2x + -3) = 120

Reorder the terms:
9 + 6x + -5(-3 + 2x) = 120
9 + 6x + (-3 * -5 + 2x * -5) = 120
9 + 6x + (15 + -10x) = 120

Reorder the terms:
9 + 15 + 6x + -10x = 120

Combine like terms: 9 + 15 = 24
24 + 6x + -10x = 120

Combine like terms: 6x + -10x = -4x
24 + -4x = 120

Solving
24 + -4x = 120

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -4x = 120 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 120 + -24
-4x = 120 + -24

Combine like terms: 120 + -24 = 96
-4x = 96

Divide each side by '-4'.
x = -24

Simplifying
x = -24

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