6(x+1)-2(y-5)=15

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Solution for 6(x+1)-2(y-5)=15 equation: 


Simplifying
6(x + 1) + -2(y + -5) = 15

Reorder the terms:
6(1 + x) + -2(y + -5) = 15
(1 * 6 + x * 6) + -2(y + -5) = 15
(6 + 6x) + -2(y + -5) = 15

Reorder the terms:
6 + 6x + -2(-5 + y) = 15
6 + 6x + (-5 * -2 + y * -2) = 15
6 + 6x + (10 + -2y) = 15

Reorder the terms:
6 + 10 + 6x + -2y = 15

Combine like terms: 6 + 10 = 16
16 + 6x + -2y = 15

Solving
16 + 6x + -2y = 15

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + 6x + -16 + -2y = 15 + -16

Reorder the terms:
16 + -16 + 6x + -2y = 15 + -16

Combine like terms: 16 + -16 = 0
0 + 6x + -2y = 15 + -16
6x + -2y = 15 + -16

Combine like terms: 15 + -16 = -1
6x + -2y = -1

Add '2y' to each side of the equation.
6x + -2y + 2y = -1 + 2y

Combine like terms: -2y + 2y = 0
6x + 0 = -1 + 2y
6x = -1 + 2y

Divide each side by '6'.
x = -0.1666666667 + 0.3333333333y

Simplifying
x = -0.1666666667 + 0.3333333333y

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