Solve 6(u+5)=-2(6u-7)+8u

$$6 ( u + 5 ) = - 2 ( 6 u - 7 ) + 8 u$$

Solve for u

$$u = -\frac{8}{5} = -1\frac{3}{5} = -1.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by u+5.

$$6u+30=-2\left(6u-7\right)+8u$$

Use the distributive property to multiply -2 by 6u-7.

$$6u+30=-12u+14+8u$$

Combine -12u and 8u to get -4u.

$$6u+30=-4u+14$$

Add 4u to both sides.

$$6u+30+4u=14$$

Combine 6u and 4u to get 10u.

$$10u+30=14$$

Subtract 30 from both sides.

$$10u=14-30$$

Subtract 30 from 14 to get -16.

$$10u=-16$$

Divide both sides by 10.

$$u=\frac{-16}{10}$$

Reduce the fraction \frac{-16}{10} to lowest terms by extracting and canceling out 2.

$$u=-\frac{8}{5}$$