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

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Solution for .02(x+20)-0.04(x-50)=14 equation: 


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

Reorder the terms:
0.02(20 + x) + -0.04(x + -50) = 14
(20 * 0.02 + x * 0.02) + -0.04(x + -50) = 14
(0.4 + 0.02x) + -0.04(x + -50) = 14

Reorder the terms:
0.4 + 0.02x + -0.04(-50 + x) = 14
0.4 + 0.02x + (-50 * -0.04 + x * -0.04) = 14
0.4 + 0.02x + (2 + -0.04x) = 14

Reorder the terms:
0.4 + 2 + 0.02x + -0.04x = 14

Combine like terms: 0.4 + 2 = 2.4
2.4 + 0.02x + -0.04x = 14

Combine like terms: 0.02x + -0.04x = -0.02x
2.4 + -0.02x = 14

Solving
2.4 + -0.02x = 14

Solving for variable 'x'.

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

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.02x = 14 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.02x = 14 + -2.4
-0.02x = 14 + -2.4

Combine like terms: 14 + -2.4 = 11.6
-0.02x = 11.6

Divide each side by '-0.02'.
x = -580

Simplifying
x = -580

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