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

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


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

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

Combine like terms: 2x + 5x = 7x
6 + 7x = -3(3 + 2x) + -3x
6 + 7x = (3 * -3 + 2x * -3) + -3x
6 + 7x = (-9 + -6x) + -3x

Combine like terms: -6x + -3x = -9x
6 + 7x = -9 + -9x

Solving
6 + 7x = -9 + -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 + 7x + 9x = -9 + -9x + 9x

Combine like terms: 7x + 9x = 16x
6 + 16x = -9 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 16x = -9 + 0
6 + 16x = -9

Add '-6' to each side of the equation.
6 + -6 + 16x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 16x = -9 + -6
16x = -9 + -6

Combine like terms: -9 + -6 = -15
16x = -15

Divide each side by '16'.
x = -0.9375

Simplifying
x = -0.9375

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