0.16(x+6)-3=0.83x+8.5

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Solution for 0.16(x+6)-3=0.83x+8.5 equation: 


Simplifying
0.16(x + 6) + -3 = 0.83x + 8.5

Reorder the terms:
0.16(6 + x) + -3 = 0.83x + 8.5
(6 * 0.16 + x * 0.16) + -3 = 0.83x + 8.5
(0.96 + 0.16x) + -3 = 0.83x + 8.5

Reorder the terms:
0.96 + -3 + 0.16x = 0.83x + 8.5

Combine like terms: 0.96 + -3 = -2.04
-2.04 + 0.16x = 0.83x + 8.5

Reorder the terms:
-2.04 + 0.16x = 8.5 + 0.83x

Solving
-2.04 + 0.16x = 8.5 + 0.83x

Solving for variable 'x'.

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

Add '-0.83x' to each side of the equation.
-2.04 + 0.16x + -0.83x = 8.5 + 0.83x + -0.83x

Combine like terms: 0.16x + -0.83x = -0.67x
-2.04 + -0.67x = 8.5 + 0.83x + -0.83x

Combine like terms: 0.83x + -0.83x = 0.00
-2.04 + -0.67x = 8.5 + 0.00
-2.04 + -0.67x = 8.5

Add '2.04' to each side of the equation.
-2.04 + 2.04 + -0.67x = 8.5 + 2.04

Combine like terms: -2.04 + 2.04 = 0.00
0.00 + -0.67x = 8.5 + 2.04
-0.67x = 8.5 + 2.04

Combine like terms: 8.5 + 2.04 = 10.54
-0.67x = 10.54

Divide each side by '-0.67'.
x = -15.73134328

Simplifying
x = -15.73134328

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