0.1(x+50)-0.08(x-40)=9.4

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Solution for 0.1(x+50)-0.08(x-40)=9.4 equation: 


Simplifying
0.1(x + 50) + -0.08(x + -40) = 9.4

Reorder the terms:
0.1(50 + x) + -0.08(x + -40) = 9.4
(50 * 0.1 + x * 0.1) + -0.08(x + -40) = 9.4
(5 + 0.1x) + -0.08(x + -40) = 9.4

Reorder the terms:
5 + 0.1x + -0.08(-40 + x) = 9.4
5 + 0.1x + (-40 * -0.08 + x * -0.08) = 9.4
5 + 0.1x + (3.2 + -0.08x) = 9.4

Reorder the terms:
5 + 3.2 + 0.1x + -0.08x = 9.4

Combine like terms: 5 + 3.2 = 8.2
8.2 + 0.1x + -0.08x = 9.4

Combine like terms: 0.1x + -0.08x = 0.02x
8.2 + 0.02x = 9.4

Solving
8.2 + 0.02x = 9.4

Solving for variable 'x'.

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

Add '-8.2' to each side of the equation.
8.2 + -8.2 + 0.02x = 9.4 + -8.2

Combine like terms: 8.2 + -8.2 = 0.0
0.0 + 0.02x = 9.4 + -8.2
0.02x = 9.4 + -8.2

Combine like terms: 9.4 + -8.2 = 1.2
0.02x = 1.2

Divide each side by '0.02'.
x = 60

Simplifying
x = 60

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