5(x+2)=22-x

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Solution for 5(x+2)=22-x equation:


Simplifying
5(x + 2) = 22 + -1x

Reorder the terms:
5(2 + x) = 22 + -1x
(2 * 5 + x * 5) = 22 + -1x
(10 + 5x) = 22 + -1x

Solving
10 + 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.
10 + 5x + x = 22 + -1x + x

Combine like terms: 5x + x = 6x
10 + 6x = 22 + -1x + x

Combine like terms: -1x + x = 0
10 + 6x = 22 + 0
10 + 6x = 22

Add '-10' to each side of the equation.
10 + -10 + 6x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 22 + -10
6x = 22 + -10

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

Divide each side by '6'.
x = 2

Simplifying
x = 2

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