3(3x+7)-4+2x=5x-5

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Solution for 3(3x+7)-4+2x=5x-5 equation:


Simplifying
3(3x + 7) + -4 + 2x = 5x + -5

Reorder the terms:
3(7 + 3x) + -4 + 2x = 5x + -5
(7 * 3 + 3x * 3) + -4 + 2x = 5x + -5
(21 + 9x) + -4 + 2x = 5x + -5

Reorder the terms:
21 + -4 + 9x + 2x = 5x + -5

Combine like terms: 21 + -4 = 17
17 + 9x + 2x = 5x + -5

Combine like terms: 9x + 2x = 11x
17 + 11x = 5x + -5

Reorder the terms:
17 + 11x = -5 + 5x

Solving
17 + 11x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + 11x + -5x = -5 + 5x + -5x

Combine like terms: 11x + -5x = 6x
17 + 6x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + 6x = -5 + 0
17 + 6x = -5

Add '-17' to each side of the equation.
17 + -17 + 6x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + 6x = -5 + -17
6x = -5 + -17

Combine like terms: -5 + -17 = -22
6x = -22

Divide each side by '6'.
x = -3.666666667

Simplifying
x = -3.666666667

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