5x-3(x-3)=-4+5x-8

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Solution for 5x-3(x-3)=-4+5x-8 equation: 


Simplifying
5x + -3(x + -3) = -4 + 5x + -8

Reorder the terms:
5x + -3(-3 + x) = -4 + 5x + -8
5x + (-3 * -3 + x * -3) = -4 + 5x + -8
5x + (9 + -3x) = -4 + 5x + -8

Reorder the terms:
9 + 5x + -3x = -4 + 5x + -8

Combine like terms: 5x + -3x = 2x
9 + 2x = -4 + 5x + -8

Reorder the terms:
9 + 2x = -4 + -8 + 5x

Combine like terms: -4 + -8 = -12
9 + 2x = -12 + 5x

Solving
9 + 2x = -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 + 2x + -5x = -12 + 5x + -5x

Combine like terms: 2x + -5x = -3x
9 + -3x = -12 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -3x = -12 + 0
9 + -3x = -12

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

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

Combine like terms: -12 + -9 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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