0.2(x+50)-0.04(x-60)=6

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Solution for 0.2(x+50)-0.04(x-60)=6 equation: 


Simplifying
0.2(x + 50) + -0.04(x + -60) = 6

Reorder the terms:
0.2(50 + x) + -0.04(x + -60) = 6
(50 * 0.2 + x * 0.2) + -0.04(x + -60) = 6
(10 + 0.2x) + -0.04(x + -60) = 6

Reorder the terms:
10 + 0.2x + -0.04(-60 + x) = 6
10 + 0.2x + (-60 * -0.04 + x * -0.04) = 6
10 + 0.2x + (2.4 + -0.04x) = 6

Reorder the terms:
10 + 2.4 + 0.2x + -0.04x = 6

Combine like terms: 10 + 2.4 = 12.4
12.4 + 0.2x + -0.04x = 6

Combine like terms: 0.2x + -0.04x = 0.16x
12.4 + 0.16x = 6

Solving
12.4 + 0.16x = 6

Solving for variable 'x'.

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

Add '-12.4' to each side of the equation.
12.4 + -12.4 + 0.16x = 6 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + 0.16x = 6 + -12.4
0.16x = 6 + -12.4

Combine like terms: 6 + -12.4 = -6.4
0.16x = -6.4

Divide each side by '0.16'.
x = -40

Simplifying
x = -40

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