.3(x+60)-.02(x-40)=10.4

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Solution for .3(x+60)-.02(x-40)=10.4 equation: 


Simplifying
0.3(x + 60) + -0.02(x + -40) = 10.4

Reorder the terms:
0.3(60 + x) + -0.02(x + -40) = 10.4
(60 * 0.3 + x * 0.3) + -0.02(x + -40) = 10.4
(18 + 0.3x) + -0.02(x + -40) = 10.4

Reorder the terms:
18 + 0.3x + -0.02(-40 + x) = 10.4
18 + 0.3x + (-40 * -0.02 + x * -0.02) = 10.4
18 + 0.3x + (0.8 + -0.02x) = 10.4

Reorder the terms:
18 + 0.8 + 0.3x + -0.02x = 10.4

Combine like terms: 18 + 0.8 = 18.8
18.8 + 0.3x + -0.02x = 10.4

Combine like terms: 0.3x + -0.02x = 0.28x
18.8 + 0.28x = 10.4

Solving
18.8 + 0.28x = 10.4

Solving for variable 'x'.

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

Add '-18.8' to each side of the equation.
18.8 + -18.8 + 0.28x = 10.4 + -18.8

Combine like terms: 18.8 + -18.8 = 0.0
0.0 + 0.28x = 10.4 + -18.8
0.28x = 10.4 + -18.8

Combine like terms: 10.4 + -18.8 = -8.4
0.28x = -8.4

Divide each side by '0.28'.
x = -30

Simplifying
x = -30

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