9-3(2x-1)=3(2x+5)-3x

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Solution for 9-3(2x-1)=3(2x+5)-3x equation:


Simplifying
9 + -3(2x + -1) = 3(2x + 5) + -3x

Reorder the terms:
9 + -3(-1 + 2x) = 3(2x + 5) + -3x
9 + (-1 * -3 + 2x * -3) = 3(2x + 5) + -3x
9 + (3 + -6x) = 3(2x + 5) + -3x

Combine like terms: 9 + 3 = 12
12 + -6x = 3(2x + 5) + -3x

Reorder the terms:
12 + -6x = 3(5 + 2x) + -3x
12 + -6x = (5 * 3 + 2x * 3) + -3x
12 + -6x = (15 + 6x) + -3x

Combine like terms: 6x + -3x = 3x
12 + -6x = 15 + 3x

Solving
12 + -6x = 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.
12 + -6x + -3x = 15 + 3x + -3x

Combine like terms: -6x + -3x = -9x
12 + -9x = 15 + 3x + -3x

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

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

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

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

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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