0.2-2(1.5x-1)=(0.3)(0.5-x)

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Solution for 0.2-2(1.5x-1)=(0.3)(0.5-x) equation: 


Simplifying
0.2 + -2(1.5x + -1) = (0.3)(0.5 + -1x)

Reorder the terms:
0.2 + -2(-1 + 1.5x) = (0.3)(0.5 + -1x)
0.2 + (-1 * -2 + 1.5x * -2) = (0.3)(0.5 + -1x)
0.2 + (2 + -3x) = (0.3)(0.5 + -1x)

Combine like terms: 0.2 + 2 = 2.2
2.2 + -3x = (0.3)(0.5 + -1x)
2.2 + -3x = (0.5 * 0.3 + -1x * 0.3)
2.2 + -3x = (0.15 + -0.3x)

Solving
2.2 + -3x = 0.15 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
2.2 + -3x + 0.3x = 0.15 + -0.3x + 0.3x

Combine like terms: -3x + 0.3x = -2.7x
2.2 + -2.7x = 0.15 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
2.2 + -2.7x = 0.15 + 0.0
2.2 + -2.7x = 0.15

Add '-2.2' to each side of the equation.
2.2 + -2.2 + -2.7x = 0.15 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -2.7x = 0.15 + -2.2
-2.7x = 0.15 + -2.2

Combine like terms: 0.15 + -2.2 = -2.05
-2.7x = -2.05

Divide each side by '-2.7'.
x = 0.7592592593

Simplifying
x = 0.7592592593

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