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

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

Solve for u

$$u=-\frac{5}{7}\approx -0.714285714$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 7u-3.

$$-14u+6+4u=4\left(u+4\right)$$

Combine -14u and 4u to get -10u.

$$-10u+6=4\left(u+4\right)$$

Use the distributive property to multiply 4 by u+4.

$$-10u+6=4u+16$$

Subtract 4u from both sides.

$$-10u+6-4u=16$$

Combine -10u and -4u to get -14u.

$$-14u+6=16$$

Subtract 6 from both sides.

$$-14u=16-6$$

Subtract 6 from 16 to get 10.

$$-14u=10$$

Divide both sides by -14.

$$u=\frac{10}{-14}$$

Reduce the fraction \frac{10}{-14} to lowest terms by extracting and canceling out 2.

$$u=-\frac{5}{7}$$