0.3x+(0.2x-0.5)+0.2(x+2)=1.3

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Solution for 0.3x+(0.2x-0.5)+0.2(x+2)=1.3 equation: 


Simplifying
0.3x + (0.2x + -0.5) + 0.2(x + 2) = 1.3

Reorder the terms:
0.3x + (-0.5 + 0.2x) + 0.2(x + 2) = 1.3

Remove parenthesis around (-0.5 + 0.2x)
0.3x + -0.5 + 0.2x + 0.2(x + 2) = 1.3

Reorder the terms:
0.3x + -0.5 + 0.2x + 0.2(2 + x) = 1.3
0.3x + -0.5 + 0.2x + (2 * 0.2 + x * 0.2) = 1.3
0.3x + -0.5 + 0.2x + (0.4 + 0.2x) = 1.3

Reorder the terms:
-0.5 + 0.4 + 0.3x + 0.2x + 0.2x = 1.3

Combine like terms: -0.5 + 0.4 = -0.1
-0.1 + 0.3x + 0.2x + 0.2x = 1.3

Combine like terms: 0.3x + 0.2x = 0.5x
-0.1 + 0.5x + 0.2x = 1.3

Combine like terms: 0.5x + 0.2x = 0.7x
-0.1 + 0.7x = 1.3

Solving
-0.1 + 0.7x = 1.3

Solving for variable 'x'.

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

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.7x = 1.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.7x = 1.3 + 0.1
0.7x = 1.3 + 0.1

Combine like terms: 1.3 + 0.1 = 1.4
0.7x = 1.4

Divide each side by '0.7'.
x = 2

Simplifying
x = 2

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