0.5x+1=2x-5

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Solution for 0.5x+1=2x-5 equation: 


Simplifying
0.5x + 1 = 2x + -5

Reorder the terms:
1 + 0.5x = 2x + -5

Reorder the terms:
1 + 0.5x = -5 + 2x

Solving
1 + 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 + 0.5x + -2x = -5 + 2x + -2x

Combine like terms: 0.5x + -2x = -1.5x
1 + -1.5x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -1.5x = -5 + 0
1 + -1.5x = -5

Add '-1' to each side of the equation.
1 + -1 + -1.5x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -1.5x = -5 + -1
-1.5x = -5 + -1

Combine like terms: -5 + -1 = -6
-1.5x = -6

Divide each side by '-1.5'.
x = 4

Simplifying
x = 4

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