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

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


Simplifying
3(3x + 5) = 6(x + 2) + -1x

Reorder the terms:
3(5 + 3x) = 6(x + 2) + -1x
(5 * 3 + 3x * 3) = 6(x + 2) + -1x
(15 + 9x) = 6(x + 2) + -1x

Reorder the terms:
15 + 9x = 6(2 + x) + -1x
15 + 9x = (2 * 6 + x * 6) + -1x
15 + 9x = (12 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
15 + 9x = 12 + 5x

Solving
15 + 9x = 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.
15 + 9x + -5x = 12 + 5x + -5x

Combine like terms: 9x + -5x = 4x
15 + 4x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + 4x = 12 + 0
15 + 4x = 12

Add '-15' to each side of the equation.
15 + -15 + 4x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 12 + -15
4x = 12 + -15

Combine like terms: 12 + -15 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75

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