Simplify \(1\times x\) to \(x\).
\[8x+4=13{(x-1)}^{1}+7\]
Use Rule of One: \({x}^{1}=x\).
\[8x+4=13(x-1)+7\]
Expand.
\[8x+4=13x-13+7\]
Simplify \(13x-13+7\) to \(13x-6\).
\[8x+4=13x-6\]
Subtract \(8x\) from both sides.
\[4=13x-6-8x\]
Simplify \(13x-6-8x\) to \(5x-6\).
\[4=5x-6\]
Add \(6\) to both sides.
\[4+6=5x\]
Simplify \(4+6\) to \(10\).
\[10=5x\]
Divide both sides by \(5\).
\[\frac{10}{5}=x\]
Simplify \(\frac{10}{5}\) to \(2\).
\[2=x\]
Switch sides.
\[x=2\]
x=2
