0.5(0.2x+0.3)=0.3x-0.2

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Solution for 0.5(0.2x+0.3)=0.3x-0.2 equation: 


Simplifying
0.5(0.2x + 0.3) = 0.3x + -0.2

Reorder the terms:
0.5(0.3 + 0.2x) = 0.3x + -0.2
(0.3 * 0.5 + 0.2x * 0.5) = 0.3x + -0.2
(0.15 + 0.1x) = 0.3x + -0.2

Reorder the terms:
0.15 + 0.1x = -0.2 + 0.3x

Solving
0.15 + 0.1x = -0.2 + 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.
0.15 + 0.1x + -0.3x = -0.2 + 0.3x + -0.3x

Combine like terms: 0.1x + -0.3x = -0.2x
0.15 + -0.2x = -0.2 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
0.15 + -0.2x = -0.2 + 0.0
0.15 + -0.2x = -0.2

Add '-0.15' to each side of the equation.
0.15 + -0.15 + -0.2x = -0.2 + -0.15

Combine like terms: 0.15 + -0.15 = 0.00
0.00 + -0.2x = -0.2 + -0.15
-0.2x = -0.2 + -0.15

Combine like terms: -0.2 + -0.15 = -0.35
-0.2x = -0.35

Divide each side by '-0.2'.
x = 1.75

Simplifying
x = 1.75

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