3(5x+15)+9=6-(96-39x)

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Solution for 3(5x+15)+9=6-(96-39x) equation:


Simplifying
3(5x + 15) + 9 = 6 + -1(96 + -39x)

Reorder the terms:
3(15 + 5x) + 9 = 6 + -1(96 + -39x)
(15 * 3 + 5x * 3) + 9 = 6 + -1(96 + -39x)
(45 + 15x) + 9 = 6 + -1(96 + -39x)

Reorder the terms:
45 + 9 + 15x = 6 + -1(96 + -39x)

Combine like terms: 45 + 9 = 54
54 + 15x = 6 + -1(96 + -39x)
54 + 15x = 6 + (96 * -1 + -39x * -1)
54 + 15x = 6 + (-96 + 39x)

Combine like terms: 6 + -96 = -90
54 + 15x = -90 + 39x

Solving
54 + 15x = -90 + 39x

Solving for variable 'x'.

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

Add '-39x' to each side of the equation.
54 + 15x + -39x = -90 + 39x + -39x

Combine like terms: 15x + -39x = -24x
54 + -24x = -90 + 39x + -39x

Combine like terms: 39x + -39x = 0
54 + -24x = -90 + 0
54 + -24x = -90

Add '-54' to each side of the equation.
54 + -54 + -24x = -90 + -54

Combine like terms: 54 + -54 = 0
0 + -24x = -90 + -54
-24x = -90 + -54

Combine like terms: -90 + -54 = -144
-24x = -144

Divide each side by '-24'.
x = 6

Simplifying
x = 6

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