.4x-1.2=.3x+.6

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Solution for .4x-1.2=.3x+.6 equation:


Simplifying
0.4x + -1.2 = 0.3x + 0.6

Reorder the terms:
-1.2 + 0.4x = 0.3x + 0.6

Reorder the terms:
-1.2 + 0.4x = 0.6 + 0.3x

Solving
-1.2 + 0.4x = 0.6 + 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.
-1.2 + 0.4x + -0.3x = 0.6 + 0.3x + -0.3x

Combine like terms: 0.4x + -0.3x = 0.1x
-1.2 + 0.1x = 0.6 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
-1.2 + 0.1x = 0.6 + 0.0
-1.2 + 0.1x = 0.6

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.1x = 0.6 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.1x = 0.6 + 1.2
0.1x = 0.6 + 1.2

Combine like terms: 0.6 + 1.2 = 1.8
0.1x = 1.8

Divide each side by '0.1'.
x = 18

Simplifying
x = 18

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