2x-7=0.5x+0.5

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


Simplifying
2x + -7 = 0.5x + 0.5

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

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

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

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

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

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

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

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

Divide each side by '1.5'.
x = 5

Simplifying
x = 5

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