0.5(6x-3)=0.25(x-6)

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Solution for 0.5(6x-3)=0.25(x-6) equation: 


Simplifying
0.5(6x + -3) = 0.25(x + -6)

Reorder the terms:
0.5(-3 + 6x) = 0.25(x + -6)
(-3 * 0.5 + 6x * 0.5) = 0.25(x + -6)
(-1.5 + 3x) = 0.25(x + -6)

Reorder the terms:
-1.5 + 3x = 0.25(-6 + x)
-1.5 + 3x = (-6 * 0.25 + x * 0.25)
-1.5 + 3x = (-1.5 + 0.25x)

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 3x = -1.5 + 1.5 + 0.25x

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 3x = -1.5 + 1.5 + 0.25x
3x = -1.5 + 1.5 + 0.25x

Combine like terms: -1.5 + 1.5 = 0.0
3x = 0.0 + 0.25x
3x = 0.25x

Solving
3x = 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
3x + -0.25x = 0.25x + -0.25x

Combine like terms: 3x + -0.25x = 2.75x
2.75x = 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
2.75x = 0.00

Divide each side by '2.75'.
x = 0

Simplifying
x = 0

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