Solve 2(2n+5)=3(3n-10)

$$2 ( 2 n + 5 ) = 3 ( 3 n - 10 )$$

Solve for n

$$n=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2n+5.

$$4n+10=3\left(3n-10\right)$$

Use the distributive property to multiply 3 by 3n-10.

$$4n+10=9n-30$$

Subtract 9n from both sides.

$$4n+10-9n=-30$$

Combine 4n and -9n to get -5n.

$$-5n+10=-30$$

Subtract 10 from both sides.

$$-5n=-30-10$$

Subtract 10 from -30 to get -40.

$$-5n=-40$$

Divide both sides by -5.

$$n=\frac{-40}{-5}$$

Divide -40 by -5 to get 8.

$$n=8$$