0.4x-0.2=0.3x+5

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Solution for 0.4x-0.2=0.3x+5 equation: 


Simplifying
0.4x + -0.2 = 0.3x + 5

Reorder the terms:
-0.2 + 0.4x = 0.3x + 5

Reorder the terms:
-0.2 + 0.4x = 5 + 0.3x

Solving
-0.2 + 0.4x = 5 + 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.
-0.2 + 0.4x + -0.3x = 5 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
-0.2 + 0.1x = 5 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.2 + 0.1x = 5 + 0.0
-0.2 + 0.1x = 5

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.1x = 5 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.1x = 5 + 0.2
0.1x = 5 + 0.2

Combine like terms: 5 + 0.2 = 5.2
0.1x = 5.2

Divide each side by '0.1'.
x = 52

Simplifying
x = 52

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