0.25(8x-20)=0.2(25x-10)

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Solution for 0.25(8x-20)=0.2(25x-10) equation: 


Simplifying
0.25(8x + -20) = 0.2(25x + -10)

Reorder the terms:
0.25(-20 + 8x) = 0.2(25x + -10)
(-20 * 0.25 + 8x * 0.25) = 0.2(25x + -10)
(-5 + 2x) = 0.2(25x + -10)

Reorder the terms:
-5 + 2x = 0.2(-10 + 25x)
-5 + 2x = (-10 * 0.2 + 25x * 0.2)
-5 + 2x = (-2 + 5x)

Solving
-5 + 2x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 2x + -5x = -2 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-5 + -3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -3x = -2 + 0
-5 + -3x = -2

Add '5' to each side of the equation.
-5 + 5 + -3x = -2 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -2 + 5
-3x = -2 + 5

Combine like terms: -2 + 5 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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