3(2x+5)-9=2x-22

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Solution for 3(2x+5)-9=2x-22 equation:


Simplifying
3(2x + 5) + -9 = 2x + -22

Reorder the terms:
3(5 + 2x) + -9 = 2x + -22
(5 * 3 + 2x * 3) + -9 = 2x + -22
(15 + 6x) + -9 = 2x + -22

Reorder the terms:
15 + -9 + 6x = 2x + -22

Combine like terms: 15 + -9 = 6
6 + 6x = 2x + -22

Reorder the terms:
6 + 6x = -22 + 2x

Solving
6 + 6x = -22 + 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.
6 + 6x + -2x = -22 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = -22 + 0
6 + 4x = -22

Add '-6' to each side of the equation.
6 + -6 + 4x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -22 + -6
4x = -22 + -6

Combine like terms: -22 + -6 = -28
4x = -28

Divide each side by '4'.
x = -7

Simplifying
x = -7

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