.3x+.5=.2x+1.3

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Solution for .3x+.5=.2x+1.3 equation: 


Simplifying
0.3x + 0.5 = 0.2x + 1.3

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

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

Solving
0.5 + 0.3x = 1.3 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.5 + 0.3x + -0.2x = 1.3 + 0.2x + -0.2x

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

Combine like terms: 0.2x + -0.2x = 0.0
0.5 + 0.1x = 1.3 + 0.0
0.5 + 0.1x = 1.3

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.1x = 1.3 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.1x = 1.3 + -0.5
0.1x = 1.3 + -0.5

Combine like terms: 1.3 + -0.5 = 0.8
0.1x = 0.8

Divide each side by '0.1'.
x = 8

Simplifying
x = 8

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