10x-0.2=7x+0.1

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Solution for 10x-0.2=7x+0.1 equation: 


Simplifying
10x + -0.2 = 7x + 0.1

Reorder the terms:
-0.2 + 10x = 7x + 0.1

Reorder the terms:
-0.2 + 10x = 0.1 + 7x

Solving
-0.2 + 10x = 0.1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-0.2 + 10x + -7x = 0.1 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-0.2 + 3x = 0.1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-0.2 + 3x = 0.1 + 0
-0.2 + 3x = 0.1

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 3x = 0.1 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 3x = 0.1 + 0.2
3x = 0.1 + 0.2

Combine like terms: 0.1 + 0.2 = 0.3
3x = 0.3

Divide each side by '3'.
x = 0.1

Simplifying
x = 0.1

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