1.5x-.5=.25(2-6x)

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Solution for 1.5x-.5=.25(2-6x) equation:


Simplifying
1.5x + -0.5 = 0.25(2 + -6x)

Reorder the terms:
-0.5 + 1.5x = 0.25(2 + -6x)
-0.5 + 1.5x = (2 * 0.25 + -6x * 0.25)
-0.5 + 1.5x = (0.5 + -1.5x)

Solving
-0.5 + 1.5x = 0.5 + -1.5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

Combine like terms: 1.5x + 1.5x = 3x
-0.5 + 3x = 0.5 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
-0.5 + 3x = 0.5 + 0.0
-0.5 + 3x = 0.5

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 3x = 0.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 3x = 0.5 + 0.5
3x = 0.5 + 0.5

Combine like terms: 0.5 + 0.5 = 1
3x = 1

Divide each side by '3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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