Solve for x
x=\frac{z+6}{3}
Solve for z
z=3\left(x-2\right)
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5x-6-2x=z
Subtract 2x from both sides.
3x-6=z
Combine 5x and -2x to get 3x.
3x=z+6
Add 6 to both sides.
\frac{3x}{3}=\frac{z+6}{3}
Divide both sides by 3.
x=\frac{z+6}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{z}{3}+2
Divide z+6 by 3.
2x+z=5x-6
Swap sides so that all variable terms are on the left hand side.
z=5x-6-2x
Subtract 2x from both sides.
z=3x-6
Combine 5x and -2x to get 3x.
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