Evaluate: integral of (cos(x))/(sin(x)^2) x

Solve for x: $x=23$

Multiply both sides of the equation by $15$, the least common multiple of $5,3$.

$$3\left(6x+2\right)+15=5\left(4x+1\right)-30$$

Use the distributive property to multiply $3$ by $6x+2$.

$$18x+6+15=5\left(4x+1\right)-30$$

Add $6$ and $15$ to get $21$.

$$18x+21=5\left(4x+1\right)-30$$

Use the distributive property to multiply $5$ by $4x+1$.

$$18x+21=20x+5-30$$

Subtract $30$ from $5$ to get $-25$.

$$18x+21=20x-25$$

Subtract $20x$ from both sides.

$$18x+21-20x=-25$$

Combine $18x$ and $-20x$ to get $-2x$.

$$-2x+21=-25$$

Subtract $21$ from both sides.

$$-2x=-25-21$$

Subtract $21$ from $-25$ to get $-46$.

$$-2x=-46$$

Divide both sides by $-2$.

$$x=\frac{-46}{-2}$$

Divide $-46$ by $-2$ to get $23$.

$$x=23$$