-3x+6(x-1)=22-x

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Solution for -3x+6(x-1)=22-x equation:


Simplifying
-3x + 6(x + -1) = 22 + -1x

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

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

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

Solving
-6 + 3x = 22 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 3x + x = 22 + -1x + x

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

Combine like terms: -1x + x = 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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