0.25(x-2)=0.2(x+10)

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Solution for 0.25(x-2)=0.2(x+10) equation: 


Simplifying
0.25(x + -2) = 0.2(x + 10)

Reorder the terms:
0.25(-2 + x) = 0.2(x + 10)
(-2 * 0.25 + x * 0.25) = 0.2(x + 10)
(-0.5 + 0.25x) = 0.2(x + 10)

Reorder the terms:
-0.5 + 0.25x = 0.2(10 + x)
-0.5 + 0.25x = (10 * 0.2 + x * 0.2)
-0.5 + 0.25x = (2 + 0.2x)

Solving
-0.5 + 0.25x = 2 + 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.
-0.5 + 0.25x + -0.2x = 2 + 0.2x + -0.2x

Combine like terms: 0.25x + -0.2x = 0.05x
-0.5 + 0.05x = 2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.5 + 0.05x = 2 + 0.0
-0.5 + 0.05x = 2

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.05x = 2 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.05x = 2 + 0.5
0.05x = 2 + 0.5

Combine like terms: 2 + 0.5 = 2.5
0.05x = 2.5

Divide each side by '0.05'.
x = 50

Simplifying
x = 50

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