0.2x-0.5=0.1x+7

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Solution for 0.2x-0.5=0.1x+7 equation: 


Simplifying
0.2x + -0.5 = 0.1x + 7

Reorder the terms:
-0.5 + 0.2x = 0.1x + 7

Reorder the terms:
-0.5 + 0.2x = 7 + 0.1x

Solving
-0.5 + 0.2x = 7 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
-0.5 + 0.2x + -0.1x = 7 + 0.1x + -0.1x

Combine like terms: 0.2x + -0.1x = 0.1x
-0.5 + 0.1x = 7 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
-0.5 + 0.1x = 7 + 0.0
-0.5 + 0.1x = 7

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.1x = 7 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.1x = 7 + 0.5
0.1x = 7 + 0.5

Combine like terms: 7 + 0.5 = 7.5
0.1x = 7.5

Divide each side by '0.1'.
x = 75

Simplifying
x = 75

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