0.25(x+20)-0.3(x-40)=15

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Solution for 0.25(x+20)-0.3(x-40)=15 equation: 


Simplifying
0.25(x + 20) + -0.3(x + -40) = 15

Reorder the terms:
0.25(20 + x) + -0.3(x + -40) = 15
(20 * 0.25 + x * 0.25) + -0.3(x + -40) = 15
(5 + 0.25x) + -0.3(x + -40) = 15

Reorder the terms:
5 + 0.25x + -0.3(-40 + x) = 15
5 + 0.25x + (-40 * -0.3 + x * -0.3) = 15
5 + 0.25x + (12 + -0.3x) = 15

Reorder the terms:
5 + 12 + 0.25x + -0.3x = 15

Combine like terms: 5 + 12 = 17
17 + 0.25x + -0.3x = 15

Combine like terms: 0.25x + -0.3x = -0.05x
17 + -0.05x = 15

Solving
17 + -0.05x = 15

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -0.05x = 15 + -17

Combine like terms: 17 + -17 = 0
0 + -0.05x = 15 + -17
-0.05x = 15 + -17

Combine like terms: 15 + -17 = -2
-0.05x = -2

Divide each side by '-0.05'.
x = 40

Simplifying
x = 40

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