8x+3(x-6)=5(y+2)-5

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Solution for 8x+3(x-6)=5(y+2)-5 equation: 


Simplifying
8x + 3(x + -6) = 5(y + 2) + -5

Reorder the terms:
8x + 3(-6 + x) = 5(y + 2) + -5
8x + (-6 * 3 + x * 3) = 5(y + 2) + -5
8x + (-18 + 3x) = 5(y + 2) + -5

Reorder the terms:
-18 + 8x + 3x = 5(y + 2) + -5

Combine like terms: 8x + 3x = 11x
-18 + 11x = 5(y + 2) + -5

Reorder the terms:
-18 + 11x = 5(2 + y) + -5
-18 + 11x = (2 * 5 + y * 5) + -5
-18 + 11x = (10 + 5y) + -5

Reorder the terms:
-18 + 11x = 10 + -5 + 5y

Combine like terms: 10 + -5 = 5
-18 + 11x = 5 + 5y

Solving
-18 + 11x = 5 + 5y

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 11x = 5 + 18 + 5y

Combine like terms: -18 + 18 = 0
0 + 11x = 5 + 18 + 5y
11x = 5 + 18 + 5y

Combine like terms: 5 + 18 = 23
11x = 23 + 5y

Divide each side by '11'.
x = 2.090909091 + 0.4545454545y

Simplifying
x = 2.090909091 + 0.4545454545y

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