2x-.5x-.25(x-3)=6x

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Solution for 2x-.5x-.25(x-3)=6x equation: 


Simplifying
2x + -0.5x + -0.25(x + -3) = 6x

Reorder the terms:
2x + -0.5x + -0.25(-3 + x) = 6x
2x + -0.5x + (-3 * -0.25 + x * -0.25) = 6x
2x + -0.5x + (0.75 + -0.25x) = 6x

Reorder the terms:
0.75 + 2x + -0.5x + -0.25x = 6x

Combine like terms: 2x + -0.5x = 1.5x
0.75 + 1.5x + -0.25x = 6x

Combine like terms: 1.5x + -0.25x = 1.25x
0.75 + 1.25x = 6x

Solving
0.75 + 1.25x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
0.75 + 1.25x + -6x = 6x + -6x

Combine like terms: 1.25x + -6x = -4.75x
0.75 + -4.75x = 6x + -6x

Combine like terms: 6x + -6x = 0
0.75 + -4.75x = 0

Add '-0.75' to each side of the equation.
0.75 + -0.75 + -4.75x = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -4.75x = 0 + -0.75
-4.75x = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-4.75x = -0.75

Divide each side by '-4.75'.
x = 0.1578947368

Simplifying
x = 0.1578947368

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