0.1(x+20)-0.08(x-50)=6.4

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Solution for 0.1(x+20)-0.08(x-50)=6.4 equation: 


Simplifying
0.1(x + 20) + -0.08(x + -50) = 6.4

Reorder the terms:
0.1(20 + x) + -0.08(x + -50) = 6.4
(20 * 0.1 + x * 0.1) + -0.08(x + -50) = 6.4
(2 + 0.1x) + -0.08(x + -50) = 6.4

Reorder the terms:
2 + 0.1x + -0.08(-50 + x) = 6.4
2 + 0.1x + (-50 * -0.08 + x * -0.08) = 6.4
2 + 0.1x + (4 + -0.08x) = 6.4

Reorder the terms:
2 + 4 + 0.1x + -0.08x = 6.4

Combine like terms: 2 + 4 = 6
6 + 0.1x + -0.08x = 6.4

Combine like terms: 0.1x + -0.08x = 0.02x
6 + 0.02x = 6.4

Solving
6 + 0.02x = 6.4

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 + 0.02x = 6.4 + -6

Combine like terms: 6 + -6 = 0
0 + 0.02x = 6.4 + -6
0.02x = 6.4 + -6

Combine like terms: 6.4 + -6 = 0.4
0.02x = 0.4

Divide each side by '0.02'.
x = 20

Simplifying
x = 20

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