2-.2(-x+1)=3+2(5-x)

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Solution for 2-.2(-x+1)=3+2(5-x) equation: 


Simplifying
2 + -0.2(-1x + 1) = 3 + 2(5 + -1x)

Reorder the terms:
2 + -0.2(1 + -1x) = 3 + 2(5 + -1x)
2 + (1 * -0.2 + -1x * -0.2) = 3 + 2(5 + -1x)
2 + (-0.2 + 0.2x) = 3 + 2(5 + -1x)

Combine like terms: 2 + -0.2 = 1.8
1.8 + 0.2x = 3 + 2(5 + -1x)
1.8 + 0.2x = 3 + (5 * 2 + -1x * 2)
1.8 + 0.2x = 3 + (10 + -2x)

Combine like terms: 3 + 10 = 13
1.8 + 0.2x = 13 + -2x

Solving
1.8 + 0.2x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1.8 + 0.2x + 2x = 13 + -2x + 2x

Combine like terms: 0.2x + 2x = 2.2x
1.8 + 2.2x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
1.8 + 2.2x = 13 + 0
1.8 + 2.2x = 13

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 2.2x = 13 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 2.2x = 13 + -1.8
2.2x = 13 + -1.8

Combine like terms: 13 + -1.8 = 11.2
2.2x = 11.2

Divide each side by '2.2'.
x = 5.090909091

Simplifying
x = 5.090909091

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