Remove parentheses.
\[COS26+\frac{x}{5}=SIN14+\frac{4x}{5}\]
Multiply both sides by \(5\).
\[5COS26+x=5SIN14+4x\]
Subtract \(5COS26\) from both sides.
\[x=5SIN14+4x-5COS26\]
Subtract \(4x\) from both sides.
\[x-4x=5SIN14-5COS26\]
Simplify \(x-4x\) to \(-3x\).
\[-3x=5SIN14-5COS26\]
Divide both sides by \(-3\).
\[x=-\frac{5SIN14-5COS26}{3}\]
Factor out the common term \(5\).
\[x=-\frac{5(SIN14-COS26)}{3}\]
Rewrite \(SIN14-COS26\) in the form \({a}^{2}-{b}^{2}\), where \(a=0\) and \(b=0\).
\[x=-\frac{5({0}^{2}+{0}^{2})}{3}\]
Simplify \({0}^{2}\) to \(0\).
\[x=-\frac{5(0+0)}{3}\]
Simplify \(0+0\) to \(0\).
\[x=-\frac{5\times 0}{3}\]
Simplify \(5\times 0\) to \(0\).
\[x=-\frac{0}{3}\]
Simplify \(\frac{0}{3}\) to \(0\).
\[x=-0\]
x=-0
