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

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


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

Reorder the terms:
3(2 + 3x) + 5 = 2(2x + -2)
(2 * 3 + 3x * 3) + 5 = 2(2x + -2)
(6 + 9x) + 5 = 2(2x + -2)

Reorder the terms:
6 + 5 + 9x = 2(2x + -2)

Combine like terms: 6 + 5 = 11
11 + 9x = 2(2x + -2)

Reorder the terms:
11 + 9x = 2(-2 + 2x)
11 + 9x = (-2 * 2 + 2x * 2)
11 + 9x = (-4 + 4x)

Solving
11 + 9x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + 9x + -4x = -4 + 4x + -4x

Combine like terms: 9x + -4x = 5x
11 + 5x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + 5x = -4 + 0
11 + 5x = -4

Add '-11' to each side of the equation.
11 + -11 + 5x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = -4 + -11
5x = -4 + -11

Combine like terms: -4 + -11 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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