5(x+3)-6=3(x-2)-9

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Solution for 5(x+3)-6=3(x-2)-9 equation: 


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

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

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

Combine like terms: 15 + -6 = 9
9 + 5x = 3(x + -2) + -9

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

Reorder the terms:
9 + 5x = -6 + -9 + 3x

Combine like terms: -6 + -9 = -15
9 + 5x = -15 + 3x

Solving
9 + 5x = -15 + 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.
9 + 5x + -3x = -15 + 3x + -3x

Combine like terms: 5x + -3x = 2x
9 + 2x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 2x = -15 + 0
9 + 2x = -15

Add '-9' to each side of the equation.
9 + -9 + 2x = -15 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = -15 + -9
2x = -15 + -9

Combine like terms: -15 + -9 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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