Simplify \(x+8+x\) to \(2x+8\).
\[\frac{1}{2}\times 15(2x+8)=210\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1\times 15(2x+8)}{2}=210\]
Factor out the common term \(2\).
\[\frac{1\times 15\times 2(x+4)}{2}=210\]
Simplify \(1\times 15\times 2(x+4)\) to \(30(x+4)\).
\[\frac{30(x+4)}{2}=210\]
Simplify \(\frac{30(x+4)}{2}\) to \(15(x+4)\).
\[15(x+4)=210\]
Divide both sides by \(15\).
\[x+4=\frac{210}{15}\]
Simplify \(\frac{210}{15}\) to \(14\).
\[x+4=14\]
Subtract \(4\) from both sides.
\[x=14-4\]
Simplify \(14-4\) to \(10\).
\[x=10\]
x=10
