3(y-2)+6(x+1)-2=0

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Solution for 3(y-2)+6(x+1)-2=0 equation:


Simplifying
3(y + -2) + 6(x + 1) + -2 = 0

Reorder the terms:
3(-2 + y) + 6(x + 1) + -2 = 0
(-2 * 3 + y * 3) + 6(x + 1) + -2 = 0
(-6 + 3y) + 6(x + 1) + -2 = 0

Reorder the terms:
-6 + 3y + 6(1 + x) + -2 = 0
-6 + 3y + (1 * 6 + x * 6) + -2 = 0
-6 + 3y + (6 + 6x) + -2 = 0

Reorder the terms:
-6 + 6 + -2 + 6x + 3y = 0

Combine like terms: -6 + 6 = 0
0 + -2 + 6x + 3y = 0
-2 + 6x + 3y = 0

Solving
-2 + 6x + 3y = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 6x + 2 + 3y = 0 + 2

Reorder the terms:
-2 + 2 + 6x + 3y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 6x + 3y = 0 + 2
6x + 3y = 0 + 2

Combine like terms: 0 + 2 = 2
6x + 3y = 2

Add '-3y' to each side of the equation.
6x + 3y + -3y = 2 + -3y

Combine like terms: 3y + -3y = 0
6x + 0 = 2 + -3y
6x = 2 + -3y

Divide each side by '6'.
x = 0.3333333333 + -0.5y

Simplifying
x = 0.3333333333 + -0.5y

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