0.2x+0.5(1-x)=1.5-0.4x

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Solution for 0.2x+0.5(1-x)=1.5-0.4x equation: 


Simplifying
0.2x + 0.5(1 + -1x) = 1.5 + -0.4x
0.2x + (1 * 0.5 + -1x * 0.5) = 1.5 + -0.4x
0.2x + (0.5 + -0.5x) = 1.5 + -0.4x

Reorder the terms:
0.5 + 0.2x + -0.5x = 1.5 + -0.4x

Combine like terms: 0.2x + -0.5x = -0.3x
0.5 + -0.3x = 1.5 + -0.4x

Solving
0.5 + -0.3x = 1.5 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
0.5 + -0.3x + 0.4x = 1.5 + -0.4x + 0.4x

Combine like terms: -0.3x + 0.4x = 0.1x
0.5 + 0.1x = 1.5 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
0.5 + 0.1x = 1.5 + 0.0
0.5 + 0.1x = 1.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.1x = 1.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.1x = 1.5 + -0.5
0.1x = 1.5 + -0.5

Combine like terms: 1.5 + -0.5 = 1
0.1x = 1

Divide each side by '0.1'.
x = 10

Simplifying
x = 10

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