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

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


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

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

Reorder the terms:
15 + 3x = -3(-6 + 3x) + 3x
15 + 3x = (-6 * -3 + 3x * -3) + 3x
15 + 3x = (18 + -9x) + 3x

Combine like terms: -9x + 3x = -6x
15 + 3x = 18 + -6x

Solving
15 + 3x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
15 + 3x + 6x = 18 + -6x + 6x

Combine like terms: 3x + 6x = 9x
15 + 9x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
15 + 9x = 18 + 0
15 + 9x = 18

Add '-15' to each side of the equation.
15 + -15 + 9x = 18 + -15

Combine like terms: 15 + -15 = 0
0 + 9x = 18 + -15
9x = 18 + -15

Combine like terms: 18 + -15 = 3
9x = 3

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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