5(x-4)=22-x

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Solution for 5(x-4)=22-x equation:


Simplifying
5(x + -4) = 22 + -1x

Reorder the terms:
5(-4 + x) = 22 + -1x
(-4 * 5 + x * 5) = 22 + -1x
(-20 + 5x) = 22 + -1x

Solving
-20 + 5x = 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.
-20 + 5x + x = 22 + -1x + x

Combine like terms: 5x + x = 6x
-20 + 6x = 22 + -1x + x

Combine like terms: -1x + x = 0
-20 + 6x = 22 + 0
-20 + 6x = 22

Add '20' to each side of the equation.
-20 + 20 + 6x = 22 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = 22 + 20
6x = 22 + 20

Combine like terms: 22 + 20 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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