-2x-6+x=-3(x+4)+22

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Solution for -2x-6+x=-3(x+4)+22 equation: 


Simplifying
-2x + -6 + x = -3(x + 4) + 22

Reorder the terms:
-6 + -2x + x = -3(x + 4) + 22

Combine like terms: -2x + x = -1x
-6 + -1x = -3(x + 4) + 22

Reorder the terms:
-6 + -1x = -3(4 + x) + 22
-6 + -1x = (4 * -3 + x * -3) + 22
-6 + -1x = (-12 + -3x) + 22

Reorder the terms:
-6 + -1x = -12 + 22 + -3x

Combine like terms: -12 + 22 = 10
-6 + -1x = 10 + -3x

Solving
-6 + -1x = 10 + -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.
-6 + -1x + 3x = 10 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-6 + 2x = 10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 2x = 10 + 0
-6 + 2x = 10

Add '6' to each side of the equation.
-6 + 6 + 2x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 10 + 6
2x = 10 + 6

Combine like terms: 10 + 6 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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