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

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


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

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

Reorder the terms:
6 + 6x = -2(-5 + 2x) + -5x
6 + 6x = (-5 * -2 + 2x * -2) + -5x
6 + 6x = (10 + -4x) + -5x

Combine like terms: -4x + -5x = -9x
6 + 6x = 10 + -9x

Solving
6 + 6x = 10 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + 6x + 9x = 10 + -9x + 9x

Combine like terms: 6x + 9x = 15x
6 + 15x = 10 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 15x = 10 + 0
6 + 15x = 10

Add '-6' to each side of the equation.
6 + -6 + 15x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 10 + -6
15x = 10 + -6

Combine like terms: 10 + -6 = 4
15x = 4

Divide each side by '15'.
x = 0.2666666667

Simplifying
x = 0.2666666667

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