Solve 4(u-3)+5(u-7)=2(u+8)

$$4 ( u - 3 ) + 5 ( u - 7 ) = 2 ( u + 8 )$$

Solve for u

$$u=9$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by u-3.

$$4u-12+5\left(u-7\right)=2\left(u+8\right)$$

Use the distributive property to multiply 5 by u-7.

$$4u-12+5u-35=2\left(u+8\right)$$

Combine 4u and 5u to get 9u.

$$9u-12-35=2\left(u+8\right)$$

Subtract 35 from -12 to get -47.

$$9u-47=2\left(u+8\right)$$

Use the distributive property to multiply 2 by u+8.

$$9u-47=2u+16$$

Subtract 2u from both sides.

$$9u-47-2u=16$$

Combine 9u and -2u to get 7u.

$$7u-47=16$$

Add 47 to both sides.

$$7u=16+47$$

Add 16 and 47 to get 63.

$$7u=63$$

Divide both sides by 7.

$$u=\frac{63}{7}$$

Divide 63 by 7 to get 9.

$$u=9$$