0.25(x+40)-0.04(x-20)=17.1

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Solution for 0.25(x+40)-0.04(x-20)=17.1 equation: 


Simplifying
0.25(x + 40) + -0.04(x + -20) = 17.1

Reorder the terms:
0.25(40 + x) + -0.04(x + -20) = 17.1
(40 * 0.25 + x * 0.25) + -0.04(x + -20) = 17.1
(10 + 0.25x) + -0.04(x + -20) = 17.1

Reorder the terms:
10 + 0.25x + -0.04(-20 + x) = 17.1
10 + 0.25x + (-20 * -0.04 + x * -0.04) = 17.1
10 + 0.25x + (0.8 + -0.04x) = 17.1

Reorder the terms:
10 + 0.8 + 0.25x + -0.04x = 17.1

Combine like terms: 10 + 0.8 = 10.8
10.8 + 0.25x + -0.04x = 17.1

Combine like terms: 0.25x + -0.04x = 0.21x
10.8 + 0.21x = 17.1

Solving
10.8 + 0.21x = 17.1

Solving for variable 'x'.

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

Add '-10.8' to each side of the equation.
10.8 + -10.8 + 0.21x = 17.1 + -10.8

Combine like terms: 10.8 + -10.8 = 0.0
0.0 + 0.21x = 17.1 + -10.8
0.21x = 17.1 + -10.8

Combine like terms: 17.1 + -10.8 = 6.3
0.21x = 6.3

Divide each side by '0.21'.
x = 30

Simplifying
x = 30

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