6x-2=2x+0.5

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Solution for 6x-2=2x+0.5 equation:


Simplifying
6x + -2 = 2x + 0.5

Reorder the terms:
-2 + 6x = 2x + 0.5

Reorder the terms:
-2 + 6x = 0.5 + 2x

Solving
-2 + 6x = 0.5 + 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.
-2 + 6x + -2x = 0.5 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-2 + 4x = 0.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 4x = 0.5 + 0
-2 + 4x = 0.5

Add '2' to each side of the equation.
-2 + 2 + 4x = 0.5 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 0.5 + 2
4x = 0.5 + 2

Combine like terms: 0.5 + 2 = 2.5
4x = 2.5

Divide each side by '4'.
x = 0.625

Simplifying
x = 0.625

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