3x-9-7x+22=21-2x

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Solution for 3x-9-7x+22=21-2x equation:


Simplifying
3x + -9 + -7x + 22 = 21 + -2x

Reorder the terms:
-9 + 22 + 3x + -7x = 21 + -2x

Combine like terms: -9 + 22 = 13
13 + 3x + -7x = 21 + -2x

Combine like terms: 3x + -7x = -4x
13 + -4x = 21 + -2x

Solving
13 + -4x = 21 + -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.
13 + -4x + 2x = 21 + -2x + 2x

Combine like terms: -4x + 2x = -2x
13 + -2x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + -2x = 21 + 0
13 + -2x = 21

Add '-13' to each side of the equation.
13 + -13 + -2x = 21 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 21 + -13
-2x = 21 + -13

Combine like terms: 21 + -13 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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