.40x-1.20=0.15x+0.80

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Solution for .40x-1.20=0.15x+0.80 equation: 


Simplifying
0.40x + -1.20 = 0.15x + 0.80

Reorder the terms:
-1.20 + 0.40x = 0.15x + 0.80

Reorder the terms:
-1.20 + 0.40x = 0.80 + 0.15x

Solving
-1.20 + 0.40x = 0.80 + 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.
-1.20 + 0.40x + -0.15x = 0.80 + 0.15x + -0.15x

Combine like terms: 0.40x + -0.15x = 0.25x
-1.20 + 0.25x = 0.80 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
-1.20 + 0.25x = 0.80 + 0.00
-1.20 + 0.25x = 0.80

Add '1.20' to each side of the equation.
-1.20 + 1.20 + 0.25x = 0.80 + 1.20

Combine like terms: -1.20 + 1.20 = 0.00
0.00 + 0.25x = 0.80 + 1.20
0.25x = 0.80 + 1.20

Combine like terms: 0.80 + 1.20 = 2
0.25x = 2

Divide each side by '0.25'.
x = 8

Simplifying
x = 8

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