0.5x+0.5=2x-7

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Solution for 0.5x+0.5=2x-7 equation: 


Simplifying
0.5x + 0.5 = 2x + -7

Reorder the terms:
0.5 + 0.5x = 2x + -7

Reorder the terms:
0.5 + 0.5x = -7 + 2x

Solving
0.5 + 0.5x = -7 + 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.
0.5 + 0.5x + -2x = -7 + 2x + -2x

Combine like terms: 0.5x + -2x = -1.5x
0.5 + -1.5x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.5 + -1.5x = -7 + 0
0.5 + -1.5x = -7

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1.5x = -7 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.5x = -7 + -0.5
-1.5x = -7 + -0.5

Combine like terms: -7 + -0.5 = -7.5
-1.5x = -7.5

Divide each side by '-1.5'.
x = 5

Simplifying
x = 5

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