0.25(2x-5)=1.33(-2x+25)

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Solution for 0.25(2x-5)=1.33(-2x+25) equation: 


Simplifying
0.25(2x + -5) = 1.33(-2x + 25)

Reorder the terms:
0.25(-5 + 2x) = 1.33(-2x + 25)
(-5 * 0.25 + 2x * 0.25) = 1.33(-2x + 25)
(-1.25 + 0.5x) = 1.33(-2x + 25)

Reorder the terms:
-1.25 + 0.5x = 1.33(25 + -2x)
-1.25 + 0.5x = (25 * 1.33 + -2x * 1.33)
-1.25 + 0.5x = (33.25 + -2.66x)

Solving
-1.25 + 0.5x = 33.25 + -2.66x

Solving for variable 'x'.

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

Add '2.66x' to each side of the equation.
-1.25 + 0.5x + 2.66x = 33.25 + -2.66x + 2.66x

Combine like terms: 0.5x + 2.66x = 3.16x
-1.25 + 3.16x = 33.25 + -2.66x + 2.66x

Combine like terms: -2.66x + 2.66x = 0.00
-1.25 + 3.16x = 33.25 + 0.00
-1.25 + 3.16x = 33.25

Add '1.25' to each side of the equation.
-1.25 + 1.25 + 3.16x = 33.25 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + 3.16x = 33.25 + 1.25
3.16x = 33.25 + 1.25

Combine like terms: 33.25 + 1.25 = 34.5
3.16x = 34.5

Divide each side by '3.16'.
x = 10.91772152

Simplifying
x = 10.91772152

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