9(x+1)-3(z-2)=3(z-1)+2(z-2)

Solution for 9(x+1)-3(z-2)=3(z-1)+2(z-2) equation:

Simplifying
9(x + 1) + -3(z + -2) = 3(z + -1) + 2(z + -2)

Reorder the terms:
9(1 + x) + -3(z + -2) = 3(z + -1) + 2(z + -2)
(1 * 9 + x * 9) + -3(z + -2) = 3(z + -1) + 2(z + -2)
(9 + 9x) + -3(z + -2) = 3(z + -1) + 2(z + -2)

Reorder the terms:
9 + 9x + -3(-2 + z) = 3(z + -1) + 2(z + -2)
9 + 9x + (-2 * -3 + z * -3) = 3(z + -1) + 2(z + -2)
9 + 9x + (6 + -3z) = 3(z + -1) + 2(z + -2)

Reorder the terms:
9 + 6 + 9x + -3z = 3(z + -1) + 2(z + -2)

Combine like terms: 9 + 6 = 15
15 + 9x + -3z = 3(z + -1) + 2(z + -2)

Reorder the terms:
15 + 9x + -3z = 3(-1 + z) + 2(z + -2)
15 + 9x + -3z = (-1 * 3 + z * 3) + 2(z + -2)
15 + 9x + -3z = (-3 + 3z) + 2(z + -2)

Reorder the terms:
15 + 9x + -3z = -3 + 3z + 2(-2 + z)
15 + 9x + -3z = -3 + 3z + (-2 * 2 + z * 2)
15 + 9x + -3z = -3 + 3z + (-4 + 2z)

Reorder the terms:
15 + 9x + -3z = -3 + -4 + 3z + 2z

Combine like terms: -3 + -4 = -7
15 + 9x + -3z = -7 + 3z + 2z

Combine like terms: 3z + 2z = 5z
15 + 9x + -3z = -7 + 5z

Solving
15 + 9x + -3z = -7 + 5z

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + 9x + -15 + -3z = -7 + -15 + 5z

Reorder the terms:
15 + -15 + 9x + -3z = -7 + -15 + 5z

Combine like terms: 15 + -15 = 0
0 + 9x + -3z = -7 + -15 + 5z
9x + -3z = -7 + -15 + 5z

Combine like terms: -7 + -15 = -22
9x + -3z = -22 + 5z

Add '3z' to each side of the equation.
9x + -3z + 3z = -22 + 5z + 3z

Combine like terms: -3z + 3z = 0
9x + 0 = -22 + 5z + 3z
9x = -22 + 5z + 3z

Combine like terms: 5z + 3z = 8z
9x = -22 + 8z

Divide each side by '9'.
x = -2.444444444 + 0.8888888889z

Simplifying
x = -2.444444444 + 0.8888888889z