0.8x-0.2+0.1x=0.5x+1.5

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Solution for 0.8x-0.2+0.1x=0.5x+1.5 equation: 


Simplifying
0.8x + -0.2 + 0.1x = 0.5x + 1.5

Reorder the terms:
-0.2 + 0.8x + 0.1x = 0.5x + 1.5

Combine like terms: 0.8x + 0.1x = 0.9x
-0.2 + 0.9x = 0.5x + 1.5

Reorder the terms:
-0.2 + 0.9x = 1.5 + 0.5x

Solving
-0.2 + 0.9x = 1.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-0.2 + 0.9x + -0.5x = 1.5 + 0.5x + -0.5x

Combine like terms: 0.9x + -0.5x = 0.4x
-0.2 + 0.4x = 1.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.2 + 0.4x = 1.5 + 0.0
-0.2 + 0.4x = 1.5

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.4x = 1.5 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 0.4x = 1.5 + 0.2
0.4x = 1.5 + 0.2

Combine like terms: 1.5 + 0.2 = 1.7
0.4x = 1.7

Divide each side by '0.4'.
x = 4.25

Simplifying
x = 4.25

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