.20(x-12)=.25(x-15)

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Solution for .20(x-12)=.25(x-15) equation: 


Simplifying
0.20(x + -12) = 0.25(x + -15)

Reorder the terms:
0.20(-12 + x) = 0.25(x + -15)
(-12 * 0.20 + x * 0.20) = 0.25(x + -15)
(-2.4 + 0.20x) = 0.25(x + -15)

Reorder the terms:
-2.4 + 0.20x = 0.25(-15 + x)
-2.4 + 0.20x = (-15 * 0.25 + x * 0.25)
-2.4 + 0.20x = (-3.75 + 0.25x)

Solving
-2.4 + 0.20x = -3.75 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
-2.4 + 0.20x + -0.25x = -3.75 + 0.25x + -0.25x

Combine like terms: 0.20x + -0.25x = -0.05x
-2.4 + -0.05x = -3.75 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
-2.4 + -0.05x = -3.75 + 0.00
-2.4 + -0.05x = -3.75

Add '2.4' to each side of the equation.
-2.4 + 2.4 + -0.05x = -3.75 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + -0.05x = -3.75 + 2.4
-0.05x = -3.75 + 2.4

Combine like terms: -3.75 + 2.4 = -1.35
-0.05x = -1.35

Divide each side by '-0.05'.
x = 27

Simplifying
x = 27

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