Solve 5(u+1)=5u-2+3(2u+3)

$$5 ( u + 1 ) = 5 u - 2 + 3 ( 2 u + 3 )$$

Solve for u

$$u=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by u+1.

$$5u+5=5u-2+3\left(2u+3\right)$$

Use the distributive property to multiply 3 by 2u+3.

$$5u+5=5u-2+6u+9$$

Combine 5u and 6u to get 11u.

$$5u+5=11u-2+9$$

Add -2 and 9 to get 7.

$$5u+5=11u+7$$

Subtract 11u from both sides.

$$5u+5-11u=7$$

Combine 5u and -11u to get -6u.

$$-6u+5=7$$

Subtract 5 from both sides.

$$-6u=7-5$$

Subtract 5 from 7 to get 2.

$$-6u=2$$

Divide both sides by -6.

$$u=\frac{2}{-6}$$

Reduce the fraction \frac{2}{-6} to lowest terms by extracting and canceling out 2.

$$u=-\frac{1}{3}$$