-0.5x+1.5=2x-5

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Solution for -0.5x+1.5=2x-5 equation: 


Simplifying
-0.5x + 1.5 = 2x + -5

Reorder the terms:
1.5 + -0.5x = 2x + -5

Reorder the terms:
1.5 + -0.5x = -5 + 2x

Solving
1.5 + -0.5x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1.5 + -0.5x + -2x = -5 + 2x + -2x

Combine like terms: -0.5x + -2x = -2.5x
1.5 + -2.5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
1.5 + -2.5x = -5 + 0
1.5 + -2.5x = -5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -2.5x = -5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -2.5x = -5 + -1.5
-2.5x = -5 + -1.5

Combine like terms: -5 + -1.5 = -6.5
-2.5x = -6.5

Divide each side by '-2.5'.
x = 2.6

Simplifying
x = 2.6

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