.2(x+20)-0.04(x-50)=14

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Solution for .2(x+20)-0.04(x-50)=14 equation: 


Simplifying
0.2(x + 20) + -0.04(x + -50) = 14

Reorder the terms:
0.2(20 + x) + -0.04(x + -50) = 14
(20 * 0.2 + x * 0.2) + -0.04(x + -50) = 14
(4 + 0.2x) + -0.04(x + -50) = 14

Reorder the terms:
4 + 0.2x + -0.04(-50 + x) = 14
4 + 0.2x + (-50 * -0.04 + x * -0.04) = 14
4 + 0.2x + (2 + -0.04x) = 14

Reorder the terms:
4 + 2 + 0.2x + -0.04x = 14

Combine like terms: 4 + 2 = 6
6 + 0.2x + -0.04x = 14

Combine like terms: 0.2x + -0.04x = 0.16x
6 + 0.16x = 14

Solving
6 + 0.16x = 14

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 0.16x = 14 + -6

Combine like terms: 6 + -6 = 0
0 + 0.16x = 14 + -6
0.16x = 14 + -6

Combine like terms: 14 + -6 = 8
0.16x = 8

Divide each side by '0.16'.
x = 50

Simplifying
x = 50

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