Solve -2(6u-8)+6u=7+3(4u-1)

$$- 2 ( 6 u - 8 ) + 6 u = 7 + 3 ( 4 u - 1 )$$

Solve for u

$$u=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 6u-8.

$$-12u+16+6u=7+3\left(4u-1\right)$$

Combine -12u and 6u to get -6u.

$$-6u+16=7+3\left(4u-1\right)$$

Use the distributive property to multiply 3 by 4u-1.

$$-6u+16=7+12u-3$$

Subtract 3 from 7 to get 4.

$$-6u+16=4+12u$$

Subtract 12u from both sides.

$$-6u+16-12u=4$$

Combine -6u and -12u to get -18u.

$$-18u+16=4$$

Subtract 16 from both sides.

$$-18u=4-16$$

Subtract 16 from 4 to get -12.

$$-18u=-12$$

Divide both sides by -18.

$$u=\frac{-12}{-18}$$

Reduce the fraction \frac{-12}{-18} to lowest terms by extracting and canceling out -6.

$$u=\frac{2}{3}$$