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

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


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

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

Reorder the terms:
15 + 6x = -3(-2 + -3x)
15 + 6x = (-2 * -3 + -3x * -3)
15 + 6x = (6 + 9x)

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

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

Combine like terms: 9x + -9x = 0
15 + -3x = 6 + 0
15 + -3x = 6

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

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

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

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

Simplifying
x = 3

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