Solve for x
x=\frac{8z-18}{5}
Solve for z
z=\frac{5x}{8}+\frac{9}{4}
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8z-4+3x=8x+14
Combine 7x and x to get 8x.
8z-4+3x-8x=14
Subtract 8x from both sides.
8z-4-5x=14
Combine 3x and -8x to get -5x.
-4-5x=14-8z
Subtract 8z from both sides.
-5x=14-8z+4
Add 4 to both sides.
-5x=18-8z
Add 14 and 4 to get 18.
\frac{-5x}{-5}=\frac{18-8z}{-5}
Divide both sides by -5.
x=\frac{18-8z}{-5}
Dividing by -5 undoes the multiplication by -5.
x=\frac{8z-18}{5}
Divide 18-8z by -5.
8z-4+3x=8x+14
Combine 7x and x to get 8x.
8z+3x=8x+14+4
Add 4 to both sides.
8z+3x=8x+18
Add 14 and 4 to get 18.
8z=8x+18-3x
Subtract 3x from both sides.
8z=5x+18
Combine 8x and -3x to get 5x.
\frac{8z}{8}=\frac{5x+18}{8}
Divide both sides by 8.
z=\frac{5x+18}{8}
Dividing by 8 undoes the multiplication by 8.
z=\frac{5x}{8}+\frac{9}{4}
Divide 5x+18 by 8.
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