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

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


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

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

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

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

Solving
6 + 6x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 6x + x = 15 + -1x + x

Combine like terms: 6x + x = 7x
6 + 7x = 15 + -1x + x

Combine like terms: -1x + x = 0
6 + 7x = 15 + 0
6 + 7x = 15

Add '-6' to each side of the equation.
6 + -6 + 7x = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 15 + -6
7x = 15 + -6

Combine like terms: 15 + -6 = 9
7x = 9

Divide each side by '7'.
x = 1.285714286

Simplifying
x = 1.285714286

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