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

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


Simplifying
3(5 + 3x) = -3(6 + -2x)
(5 * 3 + 3x * 3) = -3(6 + -2x)
(15 + 9x) = -3(6 + -2x)
15 + 9x = (6 * -3 + -2x * -3)
15 + 9x = (-18 + 6x)

Solving
15 + 9x = -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 + 9x + -6x = -18 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
15 + 3x = -18 + 0
15 + 3x = -18

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

Combine like terms: 15 + -15 = 0
0 + 3x = -18 + -15
3x = -18 + -15

Combine like terms: -18 + -15 = -33
3x = -33

Divide each side by '3'.
x = -11

Simplifying
x = -11

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