Solve for a
a=b+\frac{7}{x}
x\neq 0
Solve for b
b=a-\frac{7}{x}
x\neq 0
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ax=bx+2+5
Add 5 to both sides.
ax=bx+7
Add 2 and 5 to get 7.
xa=bx+7
The equation is in standard form.
\frac{xa}{x}=\frac{bx+7}{x}
Divide both sides by x.
a=\frac{bx+7}{x}
Dividing by x undoes the multiplication by x.
a=b+\frac{7}{x}
Divide bx+7 by x.
bx+2=ax-5
Swap sides so that all variable terms are on the left hand side.
bx=ax-5-2
Subtract 2 from both sides.
bx=ax-7
Subtract 2 from -5 to get -7.
xb=ax-7
The equation is in standard form.
\frac{xb}{x}=\frac{ax-7}{x}
Divide both sides by x.
b=\frac{ax-7}{x}
Dividing by x undoes the multiplication by x.
b=a-\frac{7}{x}
Divide ax-7 by x.
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