3(3x+2)-3=2x-4

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Solution for 3(3x+2)-3=2x-4 equation:


Simplifying
3(3x + 2) + -3 = 2x + -4

Reorder the terms:
3(2 + 3x) + -3 = 2x + -4
(2 * 3 + 3x * 3) + -3 = 2x + -4
(6 + 9x) + -3 = 2x + -4

Reorder the terms:
6 + -3 + 9x = 2x + -4

Combine like terms: 6 + -3 = 3
3 + 9x = 2x + -4

Reorder the terms:
3 + 9x = -4 + 2x

Solving
3 + 9x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 9x + -2x = -4 + 2x + -2x

Combine like terms: 9x + -2x = 7x
3 + 7x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 7x = -4 + 0
3 + 7x = -4

Add '-3' to each side of the equation.
3 + -3 + 7x = -4 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = -4 + -3
7x = -4 + -3

Combine like terms: -4 + -3 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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