0.25(X-100)=0.2(X-83.75)

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Solution for 0.25(X-100)=0.2(X-83.75) equation: 


Simplifying
0.25(X + -100) = 0.2(X + -83.75)

Reorder the terms:
0.25(-100 + X) = 0.2(X + -83.75)
(-100 * 0.25 + X * 0.25) = 0.2(X + -83.75)
(-25 + 0.25X) = 0.2(X + -83.75)

Reorder the terms:
-25 + 0.25X = 0.2(-83.75 + X)
-25 + 0.25X = (-83.75 * 0.2 + X * 0.2)
-25 + 0.25X = (-16.75 + 0.2X)

Solving
-25 + 0.25X = -16.75 + 0.2X

Solving for variable 'X'.

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

Add '-0.2X' to each side of the equation.
-25 + 0.25X + -0.2X = -16.75 + 0.2X + -0.2X

Combine like terms: 0.25X + -0.2X = 0.05X
-25 + 0.05X = -16.75 + 0.2X + -0.2X

Combine like terms: 0.2X + -0.2X = 0.0
-25 + 0.05X = -16.75 + 0.0
-25 + 0.05X = -16.75

Add '25' to each side of the equation.
-25 + 25 + 0.05X = -16.75 + 25

Combine like terms: -25 + 25 = 0
0 + 0.05X = -16.75 + 25
0.05X = -16.75 + 25

Combine like terms: -16.75 + 25 = 8.25
0.05X = 8.25

Divide each side by '0.05'.
X = 165

Simplifying
X = 165

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