7+2x=3(-x+3)-22

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Solution for 7+2x=3(-x+3)-22 equation:


Simplifying
7 + 2x = 3(-1x + 3) + -22

Reorder the terms:
7 + 2x = 3(3 + -1x) + -22
7 + 2x = (3 * 3 + -1x * 3) + -22
7 + 2x = (9 + -3x) + -22

Reorder the terms:
7 + 2x = 9 + -22 + -3x

Combine like terms: 9 + -22 = -13
7 + 2x = -13 + -3x

Solving
7 + 2x = -13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 2x + 3x = -13 + -3x + 3x

Combine like terms: 2x + 3x = 5x
7 + 5x = -13 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 5x = -13 + 0
7 + 5x = -13

Add '-7' to each side of the equation.
7 + -7 + 5x = -13 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = -13 + -7
5x = -13 + -7

Combine like terms: -13 + -7 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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