Question

Solve for x and simplify the answer fully.
start fraction, x, plus, 1, divided by, 7, end fraction, equals, start fraction, x, plus, 9, divided by, 3, end fraction
7
x+1
​
=
3
x+9

Answer 1

\(\frac{x+1}{7}=\frac{x+9}{3}\)

Cross-multiply: \(3(x+1)=7(x+9)\)

\(3x+3=7x+63\)

Bring terms together: \(3-63=7x-3x\Rightarrow -60=4x\)

So \(x=-60/4=-15\).