0.25(x+50)-0.03(x-40)=26.9

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Solution for 0.25(x+50)-0.03(x-40)=26.9 equation: 


Simplifying
0.25(x + 50) + -0.03(x + -40) = 26.9

Reorder the terms:
0.25(50 + x) + -0.03(x + -40) = 26.9
(50 * 0.25 + x * 0.25) + -0.03(x + -40) = 26.9
(12.5 + 0.25x) + -0.03(x + -40) = 26.9

Reorder the terms:
12.5 + 0.25x + -0.03(-40 + x) = 26.9
12.5 + 0.25x + (-40 * -0.03 + x * -0.03) = 26.9
12.5 + 0.25x + (1.2 + -0.03x) = 26.9

Reorder the terms:
12.5 + 1.2 + 0.25x + -0.03x = 26.9

Combine like terms: 12.5 + 1.2 = 13.7
13.7 + 0.25x + -0.03x = 26.9

Combine like terms: 0.25x + -0.03x = 0.22x
13.7 + 0.22x = 26.9

Solving
13.7 + 0.22x = 26.9

Solving for variable 'x'.

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

Add '-13.7' to each side of the equation.
13.7 + -13.7 + 0.22x = 26.9 + -13.7

Combine like terms: 13.7 + -13.7 = 0.0
0.0 + 0.22x = 26.9 + -13.7
0.22x = 26.9 + -13.7

Combine like terms: 26.9 + -13.7 = 13.2
0.22x = 13.2

Divide each side by '0.22'.
x = 60

Simplifying
x = 60

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