0.25(4x-5)=0.75x-8

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Solution for 0.25(4x-5)=0.75x-8 equation: 


Simplifying
0.25(4x + -5) = 0.75x + -8

Reorder the terms:
0.25(-5 + 4x) = 0.75x + -8
(-5 * 0.25 + 4x * 0.25) = 0.75x + -8
(-1.25 + 1x) = 0.75x + -8

Reorder the terms:
-1.25 + 1x = -8 + 0.75x

Solving
-1.25 + 1x = -8 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
-1.25 + 1x + -0.75x = -8 + 0.75x + -0.75x

Combine like terms: 1x + -0.75x = 0.25x
-1.25 + 0.25x = -8 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-1.25 + 0.25x = -8 + 0.00
-1.25 + 0.25x = -8

Add '1.25' to each side of the equation.
-1.25 + 1.25 + 0.25x = -8 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + 0.25x = -8 + 1.25
0.25x = -8 + 1.25

Combine like terms: -8 + 1.25 = -6.75
0.25x = -6.75

Divide each side by '0.25'.
x = -27

Simplifying
x = -27

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