0.5x+2-1.5x=1.5x-6

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Solution for 0.5x+2-1.5x=1.5x-6 equation: 


Simplifying
0.5x + 2 + -1.5x = 1.5x + -6

Reorder the terms:
2 + 0.5x + -1.5x = 1.5x + -6

Combine like terms: 0.5x + -1.5x = -1x
2 + -1x = 1.5x + -6

Reorder the terms:
2 + -1x = -6 + 1.5x

Solving
2 + -1x = -6 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
2 + -1x + -1.5x = -6 + 1.5x + -1.5x

Combine like terms: -1x + -1.5x = -2.5x
2 + -2.5x = -6 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
2 + -2.5x = -6 + 0.0
2 + -2.5x = -6

Add '-2' to each side of the equation.
2 + -2 + -2.5x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -2.5x = -6 + -2
-2.5x = -6 + -2

Combine like terms: -6 + -2 = -8
-2.5x = -8

Divide each side by '-2.5'.
x = 3.2

Simplifying
x = 3.2

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