3(x+0.2)-(2x+0.5)=2(x+0.3)-0.5

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Solution for 3(x+0.2)-(2x+0.5)=2(x+0.3)-0.5 equation: 


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

Reorder the terms:
3(0.2 + x) + -1(2x + 0.5) = 2(x + 0.3) + -0.5
(0.2 * 3 + x * 3) + -1(2x + 0.5) = 2(x + 0.3) + -0.5
(0.6 + 3x) + -1(2x + 0.5) = 2(x + 0.3) + -0.5

Reorder the terms:
0.6 + 3x + -1(0.5 + 2x) = 2(x + 0.3) + -0.5
0.6 + 3x + (0.5 * -1 + 2x * -1) = 2(x + 0.3) + -0.5
0.6 + 3x + (-0.5 + -2x) = 2(x + 0.3) + -0.5

Reorder the terms:
0.6 + -0.5 + 3x + -2x = 2(x + 0.3) + -0.5

Combine like terms: 0.6 + -0.5 = 0.1
0.1 + 3x + -2x = 2(x + 0.3) + -0.5

Combine like terms: 3x + -2x = 1x
0.1 + 1x = 2(x + 0.3) + -0.5

Reorder the terms:
0.1 + 1x = 2(0.3 + x) + -0.5
0.1 + 1x = (0.3 * 2 + x * 2) + -0.5
0.1 + 1x = (0.6 + 2x) + -0.5

Reorder the terms:
0.1 + 1x = 0.6 + -0.5 + 2x

Combine like terms: 0.6 + -0.5 = 0.1
0.1 + 1x = 0.1 + 2x

Add '-0.1' to each side of the equation.
0.1 + -0.1 + 1x = 0.1 + -0.1 + 2x

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 1x = 0.1 + -0.1 + 2x
1x = 0.1 + -0.1 + 2x

Combine like terms: 0.1 + -0.1 = 0.0
1x = 0.0 + 2x
1x = 2x

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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