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

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


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

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

Reorder the terms:
15 + 9x + -3x = 5x + 9 + -3x

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

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

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

Solving
15 + 6x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + 6x + -2x = 9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
15 + 4x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 4x = 9 + 0
15 + 4x = 9

Add '-15' to each side of the equation.
15 + -15 + 4x = 9 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 9 + -15
4x = 9 + -15

Combine like terms: 9 + -15 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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