.006(x+20)+.08(x-10)=4.6

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Solution for .006(x+20)+.08(x-10)=4.6 equation: 


Simplifying
0.006(x + 20) + 0.08(x + -10) = 4.6

Reorder the terms:
0.006(20 + x) + 0.08(x + -10) = 4.6
(20 * 0.006 + x * 0.006) + 0.08(x + -10) = 4.6
(0.12 + 0.006x) + 0.08(x + -10) = 4.6

Reorder the terms:
0.12 + 0.006x + 0.08(-10 + x) = 4.6
0.12 + 0.006x + (-10 * 0.08 + x * 0.08) = 4.6
0.12 + 0.006x + (-0.8 + 0.08x) = 4.6

Reorder the terms:
0.12 + -0.8 + 0.006x + 0.08x = 4.6

Combine like terms: 0.12 + -0.8 = -0.68
-0.68 + 0.006x + 0.08x = 4.6

Combine like terms: 0.006x + 0.08x = 0.086x
-0.68 + 0.086x = 4.6

Solving
-0.68 + 0.086x = 4.6

Solving for variable 'x'.

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

Add '0.68' to each side of the equation.
-0.68 + 0.68 + 0.086x = 4.6 + 0.68

Combine like terms: -0.68 + 0.68 = 0.00
0.00 + 0.086x = 4.6 + 0.68
0.086x = 4.6 + 0.68

Combine like terms: 4.6 + 0.68 = 5.28
0.086x = 5.28

Divide each side by '0.086'.
x = 61.39534884

Simplifying
x = 61.39534884

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