## College Algebra (10th Edition)

$x=2.9$
$\frac{x+1}{3}+\frac{x+2}{7}=2$ $\longrightarrow$ distributive property $\frac{x}{3}+\frac{1}{3}+\frac{x}{7}+\frac{2}{7}=2$$\longrightarrow create like fractions \frac{7x}{21}+\frac{7}{21}+\frac{3x}{21}+\frac{6}{21}=2$$\longrightarrow$ combine like terms $\frac{10x}{21}+\frac{13}{21}=2$ $\longrightarrow$ addition property of equality $\frac{10x}{21}+\frac{13}{21}-\frac{13}{21}=\frac{42}{21}-\frac{13}{21}$ $\longrightarrow$ combine like terms $\frac{10x}{21}=\frac{29}{21}$ $\longrightarrow$ multiplication property of equality $\frac{10x}{21}\times\frac{21}{10}=\frac{29}{21}\times\frac{21}{10}$ $\longrightarrow$ simplify $x=\frac{29}{10}=2.9$