.4x-0.1=.3x+2

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Solution for .4x-0.1=.3x+2 equation:


Simplifying
0.4x + -0.1 = 0.3x + 2

Reorder the terms:
-0.1 + 0.4x = 0.3x + 2

Reorder the terms:
-0.1 + 0.4x = 2 + 0.3x

Solving
-0.1 + 0.4x = 2 + 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.
-0.1 + 0.4x + -0.3x = 2 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
-0.1 + 0.1x = 2 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-0.1 + 0.1x = 2 + 0.0
-0.1 + 0.1x = 2

Add '0.1' to each side of the equation.
-0.1 + 0.1 + 0.1x = 2 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + 0.1x = 2 + 0.1
0.1x = 2 + 0.1

Combine like terms: 2 + 0.1 = 2.1
0.1x = 2.1

Divide each side by '0.1'.
x = 21

Simplifying
x = 21

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