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

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Solution for 06(x+20)+.08(x-10)=4.6 equation: 


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

Reorder the terms:
6(20 + x) + 0.08(x + -10) = 4.6
(20 * 6 + x * 6) + 0.08(x + -10) = 4.6
(120 + 6x) + 0.08(x + -10) = 4.6

Reorder the terms:
120 + 6x + 0.08(-10 + x) = 4.6
120 + 6x + (-10 * 0.08 + x * 0.08) = 4.6
120 + 6x + (-0.8 + 0.08x) = 4.6

Reorder the terms:
120 + -0.8 + 6x + 0.08x = 4.6

Combine like terms: 120 + -0.8 = 119.2
119.2 + 6x + 0.08x = 4.6

Combine like terms: 6x + 0.08x = 6.08x
119.2 + 6.08x = 4.6

Solving
119.2 + 6.08x = 4.6

Solving for variable 'x'.

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

Add '-119.2' to each side of the equation.
119.2 + -119.2 + 6.08x = 4.6 + -119.2

Combine like terms: 119.2 + -119.2 = 0.0
0.0 + 6.08x = 4.6 + -119.2
6.08x = 4.6 + -119.2

Combine like terms: 4.6 + -119.2 = -114.6
6.08x = -114.6

Divide each side by '6.08'.
x = -18.84868421

Simplifying
x = -18.84868421

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