.25(3x-6)=0.5(5-4x)

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Solution for .25(3x-6)=0.5(5-4x) equation: 


Simplifying
0.25(3x + -6) = 0.5(5 + -4x)

Reorder the terms:
0.25(-6 + 3x) = 0.5(5 + -4x)
(-6 * 0.25 + 3x * 0.25) = 0.5(5 + -4x)
(-1.5 + 0.75x) = 0.5(5 + -4x)
-1.5 + 0.75x = (5 * 0.5 + -4x * 0.5)
-1.5 + 0.75x = (2.5 + -2x)

Solving
-1.5 + 0.75x = 2.5 + -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.
-1.5 + 0.75x + 2x = 2.5 + -2x + 2x

Combine like terms: 0.75x + 2x = 2.75x
-1.5 + 2.75x = 2.5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-1.5 + 2.75x = 2.5 + 0
-1.5 + 2.75x = 2.5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2.75x = 2.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2.75x = 2.5 + 1.5
2.75x = 2.5 + 1.5

Combine like terms: 2.5 + 1.5 = 4
2.75x = 4

Divide each side by '2.75'.
x = 1.454545455

Simplifying
x = 1.454545455

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