9x+6(y-2)=13-(2y+2)

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Solution for 9x+6(y-2)=13-(2y+2) equation:


Simplifying
9x + 6(y + -2) = 13 + -1(2y + 2)

Reorder the terms:
9x + 6(-2 + y) = 13 + -1(2y + 2)
9x + (-2 * 6 + y * 6) = 13 + -1(2y + 2)
9x + (-12 + 6y) = 13 + -1(2y + 2)

Reorder the terms:
-12 + 9x + 6y = 13 + -1(2y + 2)

Reorder the terms:
-12 + 9x + 6y = 13 + -1(2 + 2y)
-12 + 9x + 6y = 13 + (2 * -1 + 2y * -1)
-12 + 9x + 6y = 13 + (-2 + -2y)

Combine like terms: 13 + -2 = 11
-12 + 9x + 6y = 11 + -2y

Solving
-12 + 9x + 6y = 11 + -2y

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 9x + 12 + 6y = 11 + 12 + -2y

Reorder the terms:
-12 + 12 + 9x + 6y = 11 + 12 + -2y

Combine like terms: -12 + 12 = 0
0 + 9x + 6y = 11 + 12 + -2y
9x + 6y = 11 + 12 + -2y

Combine like terms: 11 + 12 = 23
9x + 6y = 23 + -2y

Add '-6y' to each side of the equation.
9x + 6y + -6y = 23 + -2y + -6y

Combine like terms: 6y + -6y = 0
9x + 0 = 23 + -2y + -6y
9x = 23 + -2y + -6y

Combine like terms: -2y + -6y = -8y
9x = 23 + -8y

Divide each side by '9'.
x = 2.555555556 + -0.8888888889y

Simplifying
x = 2.555555556 + -0.8888888889y

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