3(3x+8)=12x-15

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Solution for 3(3x+8)=12x-15 equation:


Simplifying
3(3x + 8) = 12x + -15

Reorder the terms:
3(8 + 3x) = 12x + -15
(8 * 3 + 3x * 3) = 12x + -15
(24 + 9x) = 12x + -15

Reorder the terms:
24 + 9x = -15 + 12x

Solving
24 + 9x = -15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
24 + 9x + -12x = -15 + 12x + -12x

Combine like terms: 9x + -12x = -3x
24 + -3x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
24 + -3x = -15 + 0
24 + -3x = -15

Add '-24' to each side of the equation.
24 + -24 + -3x = -15 + -24

Combine like terms: 24 + -24 = 0
0 + -3x = -15 + -24
-3x = -15 + -24

Combine like terms: -15 + -24 = -39
-3x = -39

Divide each side by '-3'.
x = 13

Simplifying
x = 13

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