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

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Solution for 9(y-2)+6(x+1)-2=0 equation:


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

Reorder the terms:
9(-2 + y) + 6(x + 1) + -2 = 0
(-2 * 9 + y * 9) + 6(x + 1) + -2 = 0
(-18 + 9y) + 6(x + 1) + -2 = 0

Reorder the terms:
-18 + 9y + 6(1 + x) + -2 = 0
-18 + 9y + (1 * 6 + x * 6) + -2 = 0
-18 + 9y + (6 + 6x) + -2 = 0

Reorder the terms:
-18 + 6 + -2 + 6x + 9y = 0

Combine like terms: -18 + 6 = -12
-12 + -2 + 6x + 9y = 0

Combine like terms: -12 + -2 = -14
-14 + 6x + 9y = 0

Solving
-14 + 6x + 9y = 0

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 6x + 14 + 9y = 0 + 14

Reorder the terms:
-14 + 14 + 6x + 9y = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 6x + 9y = 0 + 14
6x + 9y = 0 + 14

Combine like terms: 0 + 14 = 14
6x + 9y = 14

Add '-9y' to each side of the equation.
6x + 9y + -9y = 14 + -9y

Combine like terms: 9y + -9y = 0
6x + 0 = 14 + -9y
6x = 14 + -9y

Divide each side by '6'.
x = 2.333333333 + -1.5y

Simplifying
x = 2.333333333 + -1.5y

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