0.75(4x-1)=0.25(6x-1)

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Solution for 0.75(4x-1)=0.25(6x-1) equation: 


Simplifying
0.75(4x + -1) = 0.25(6x + -1)

Reorder the terms:
0.75(-1 + 4x) = 0.25(6x + -1)
(-1 * 0.75 + 4x * 0.75) = 0.25(6x + -1)
(-0.75 + 3x) = 0.25(6x + -1)

Reorder the terms:
-0.75 + 3x = 0.25(-1 + 6x)
-0.75 + 3x = (-1 * 0.25 + 6x * 0.25)
-0.75 + 3x = (-0.25 + 1.5x)

Solving
-0.75 + 3x = -0.25 + 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.
-0.75 + 3x + -1.5x = -0.25 + 1.5x + -1.5x

Combine like terms: 3x + -1.5x = 1.5x
-0.75 + 1.5x = -0.25 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-0.75 + 1.5x = -0.25 + 0.0
-0.75 + 1.5x = -0.25

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 1.5x = -0.25 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 1.5x = -0.25 + 0.75
1.5x = -0.25 + 0.75

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

Divide each side by '1.5'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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