0.25(x+60)-0.08(x-40)=23.3

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Solution for 0.25(x+60)-0.08(x-40)=23.3 equation: 


Simplifying
0.25(x + 60) + -0.08(x + -40) = 23.3

Reorder the terms:
0.25(60 + x) + -0.08(x + -40) = 23.3
(60 * 0.25 + x * 0.25) + -0.08(x + -40) = 23.3
(15 + 0.25x) + -0.08(x + -40) = 23.3

Reorder the terms:
15 + 0.25x + -0.08(-40 + x) = 23.3
15 + 0.25x + (-40 * -0.08 + x * -0.08) = 23.3
15 + 0.25x + (3.2 + -0.08x) = 23.3

Reorder the terms:
15 + 3.2 + 0.25x + -0.08x = 23.3

Combine like terms: 15 + 3.2 = 18.2
18.2 + 0.25x + -0.08x = 23.3

Combine like terms: 0.25x + -0.08x = 0.17x
18.2 + 0.17x = 23.3

Solving
18.2 + 0.17x = 23.3

Solving for variable 'x'.

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

Add '-18.2' to each side of the equation.
18.2 + -18.2 + 0.17x = 23.3 + -18.2

Combine like terms: 18.2 + -18.2 = 0.0
0.0 + 0.17x = 23.3 + -18.2
0.17x = 23.3 + -18.2

Combine like terms: 23.3 + -18.2 = 5.1
0.17x = 5.1

Divide each side by '0.17'.
x = 30

Simplifying
x = 30

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