0.2(10-5x)=3+2(x-1)

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Solution for 0.2(10-5x)=3+2(x-1) equation: 


Simplifying
0.2(10 + -5x) = 3 + 2(x + -1)
(10 * 0.2 + -5x * 0.2) = 3 + 2(x + -1)
(2 + -1x) = 3 + 2(x + -1)

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

Combine like terms: 3 + -2 = 1
2 + -1x = 1 + 2x

Solving
2 + -1x = 1 + 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.
2 + -1x + -2x = 1 + 2x + -2x

Combine like terms: -1x + -2x = -3x
2 + -3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -3x = 1 + 0
2 + -3x = 1

Add '-2' to each side of the equation.
2 + -2 + -3x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 1 + -2
-3x = 1 + -2

Combine like terms: 1 + -2 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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