0.3(x+20)-0.02(x-40)=23.6

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Solution for 0.3(x+20)-0.02(x-40)=23.6 equation: 


Simplifying
0.3(x + 20) + -0.02(x + -40) = 23.6

Reorder the terms:
0.3(20 + x) + -0.02(x + -40) = 23.6
(20 * 0.3 + x * 0.3) + -0.02(x + -40) = 23.6
(6 + 0.3x) + -0.02(x + -40) = 23.6

Reorder the terms:
6 + 0.3x + -0.02(-40 + x) = 23.6
6 + 0.3x + (-40 * -0.02 + x * -0.02) = 23.6
6 + 0.3x + (0.8 + -0.02x) = 23.6

Reorder the terms:
6 + 0.8 + 0.3x + -0.02x = 23.6

Combine like terms: 6 + 0.8 = 6.8
6.8 + 0.3x + -0.02x = 23.6

Combine like terms: 0.3x + -0.02x = 0.28x
6.8 + 0.28x = 23.6

Solving
6.8 + 0.28x = 23.6

Solving for variable 'x'.

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

Add '-6.8' to each side of the equation.
6.8 + -6.8 + 0.28x = 23.6 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 0.28x = 23.6 + -6.8
0.28x = 23.6 + -6.8

Combine like terms: 23.6 + -6.8 = 16.8
0.28x = 16.8

Divide each side by '0.28'.
x = 60

Simplifying
x = 60

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