Answer
$x = 9.2$
Work Step by Step
$\frac{x+1}{3} = 5 - \frac{x+2}{7}$
$\frac{x+1}{3} = \frac{35-(x+2)}{7}$
$\frac{x+1}{3} = \frac{35-x-2}{7}$
$\frac{x+1}{3} = \frac{33-x}{7}$
Multiply both sides by 21 to clear fractions.
$21(\frac{x+1}{3}) = 21(\frac{33-x}{7})$
$7(x+1)=3(33-x)$
$7x+7=99-3x$
Combine like terms.
$7x+3x=99-7$
$10x=92$
$x=\frac{92}{10}$
$x = 9.2$
