.4x-1.2=.15x+.8

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Solution for .4x-1.2=.15x+.8 equation: 


Simplifying
0.4x + -1.2 = 0.15x + 0.8

Reorder the terms:
-1.2 + 0.4x = 0.15x + 0.8

Reorder the terms:
-1.2 + 0.4x = 0.8 + 0.15x

Solving
-1.2 + 0.4x = 0.8 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
-1.2 + 0.4x + -0.15x = 0.8 + 0.15x + -0.15x

Combine like terms: 0.4x + -0.15x = 0.25x
-1.2 + 0.25x = 0.8 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
-1.2 + 0.25x = 0.8 + 0.00
-1.2 + 0.25x = 0.8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.25x = 0.8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.25x = 0.8 + 1.2
0.25x = 0.8 + 1.2

Combine like terms: 0.8 + 1.2 = 2
0.25x = 2

Divide each side by '0.25'.
x = 8

Simplifying
x = 8

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