(x*5)+(y*6)=10.6

Solution for (x*5)+(y*6)=10.6 equation:

Simplifying
(x * 5) + (y * 6) = 10.6

Reorder the terms for easier multiplication:
(5x) + (y * 6) = 10.6

Reorder the terms for easier multiplication:
(5x) + (6y) = 10.6

Solving
(5x) + (6y) = 10.6

Solving for variable 'x'.

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

Add '(-6y)' to each side of the equation.
(5x) + (6y) + (-6y) = 10.6 + (-6y)

Combine like terms: (6y) + (-6y) = 0
(5x) + 0 = 10.6 + (-6y)
(5x) = 10.6 + (-6y)

Divide each side by '5'.
x = 2.12 + (-1.2y)

Simplifying
x = 2.12 + (-1.2y)