.2(x+1)=22-x

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Solution for .2(x+1)=22-x equation: 


Simplifying
0.2(x + 1) = 22 + -1x

Reorder the terms:
0.2(1 + x) = 22 + -1x
(1 * 0.2 + x * 0.2) = 22 + -1x
(0.2 + 0.2x) = 22 + -1x

Solving
0.2 + 0.2x = 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.
0.2 + 0.2x + x = 22 + -1x + x

Combine like terms: 0.2x + x = 1.2x
0.2 + 1.2x = 22 + -1x + x

Combine like terms: -1x + x = 0
0.2 + 1.2x = 22 + 0
0.2 + 1.2x = 22

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 1.2x = 22 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 1.2x = 22 + -0.2
1.2x = 22 + -0.2

Combine like terms: 22 + -0.2 = 21.8
1.2x = 21.8

Divide each side by '1.2'.
x = 18.16666667

Simplifying
x = 18.16666667

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