4x-2=.5x+.5

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Solution for 4x-2=.5x+.5 equation:


Simplifying
4x + -2 = 0.5x + 0.5

Reorder the terms:
-2 + 4x = 0.5x + 0.5

Reorder the terms:
-2 + 4x = 0.5 + 0.5x

Solving
-2 + 4x = 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.
-2 + 4x + -0.5x = 0.5 + 0.5x + -0.5x

Combine like terms: 4x + -0.5x = 3.5x
-2 + 3.5x = 0.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-2 + 3.5x = 0.5 + 0.0
-2 + 3.5x = 0.5

Add '2' to each side of the equation.
-2 + 2 + 3.5x = 0.5 + 2

Combine like terms: -2 + 2 = 0
0 + 3.5x = 0.5 + 2
3.5x = 0.5 + 2

Combine like terms: 0.5 + 2 = 2.5
3.5x = 2.5

Divide each side by '3.5'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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