3(4x+5)=3x-12

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Solution for 3(4x+5)=3x-12 equation: 


Simplifying
3(4x + 5) = 3x + -12

Reorder the terms:
3(5 + 4x) = 3x + -12
(5 * 3 + 4x * 3) = 3x + -12
(15 + 12x) = 3x + -12

Reorder the terms:
15 + 12x = -12 + 3x

Solving
15 + 12x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + 12x + -3x = -12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
15 + 9x = -12 + 0
15 + 9x = -12

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

Combine like terms: 15 + -15 = 0
0 + 9x = -12 + -15
9x = -12 + -15

Combine like terms: -12 + -15 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3

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