0.2(x+20)-0.06(x-40)=3.6

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Solution for 0.2(x+20)-0.06(x-40)=3.6 equation:


Simplifying
0.2(x + 20) + -0.06(x + -40) = 3.6

Reorder the terms:
0.2(20 + x) + -0.06(x + -40) = 3.6
(20 * 0.2 + x * 0.2) + -0.06(x + -40) = 3.6
(4 + 0.2x) + -0.06(x + -40) = 3.6

Reorder the terms:
4 + 0.2x + -0.06(-40 + x) = 3.6
4 + 0.2x + (-40 * -0.06 + x * -0.06) = 3.6
4 + 0.2x + (2.4 + -0.06x) = 3.6

Reorder the terms:
4 + 2.4 + 0.2x + -0.06x = 3.6

Combine like terms: 4 + 2.4 = 6.4
6.4 + 0.2x + -0.06x = 3.6

Combine like terms: 0.2x + -0.06x = 0.14x
6.4 + 0.14x = 3.6

Solving
6.4 + 0.14x = 3.6

Solving for variable 'x'.

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

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.14x = 3.6 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.14x = 3.6 + -6.4
0.14x = 3.6 + -6.4

Combine like terms: 3.6 + -6.4 = -2.8
0.14x = -2.8

Divide each side by '0.14'.
x = -20

Simplifying
x = -20

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