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

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


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

Reorder the terms:
-3(-3 + x) = 5x + 12
(-3 * -3 + x * -3) = 5x + 12
(9 + -3x) = 5x + 12

Reorder the terms:
9 + -3x = 12 + 5x

Solving
9 + -3x = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
9 + -3x + -5x = 12 + 5x + -5x

Combine like terms: -3x + -5x = -8x
9 + -8x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -8x = 12 + 0
9 + -8x = 12

Add '-9' to each side of the equation.
9 + -9 + -8x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + -8x = 12 + -9
-8x = 12 + -9

Combine like terms: 12 + -9 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375

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