Solve for a
a=-\frac{b}{2}-\frac{c}{4}-\frac{x}{4}+\frac{23}{8}
Solve for b
b=-\frac{c}{2}-\frac{x}{2}-2a+\frac{23}{4}
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8a+4b+2c+2x=23
Combine x and x to get 2x.
8a+2c+2x=23-4b
Subtract 4b from both sides.
8a+2x=23-4b-2c
Subtract 2c from both sides.
8a=23-4b-2c-2x
Subtract 2x from both sides.
\frac{8a}{8}=\frac{23-4b-2c-2x}{8}
Divide both sides by 8.
a=\frac{23-4b-2c-2x}{8}
Dividing by 8 undoes the multiplication by 8.
a=-\frac{b}{2}-\frac{c}{4}-\frac{x}{4}+\frac{23}{8}
Divide 23-4b-2c-2x by 8.
8a+4b+2c+2x=23
Combine x and x to get 2x.
4b+2c+2x=23-8a
Subtract 8a from both sides.
4b+2x=23-8a-2c
Subtract 2c from both sides.
4b=23-8a-2c-2x
Subtract 2x from both sides.
\frac{4b}{4}=\frac{23-8a-2c-2x}{4}
Divide both sides by 4.
b=\frac{23-8a-2c-2x}{4}
Dividing by 4 undoes the multiplication by 4.
b=-\frac{c}{2}-\frac{x}{2}-2a+\frac{23}{4}
Divide 23-8a-2c-2x by 4.
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