Solve 7a+14-12a=24+4a-40

$$7 a + 14 - 12 a = 24 + 4 a - 40$$

Solve for a

$$a = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

Combine 7a and -12a to get -5a.

$$-5a+14=24+4a-40$$

Subtract 40 from 24 to get -16.

$$-5a+14=-16+4a$$

Subtract 4a from both sides.

$$-5a+14-4a=-16$$

Combine -5a and -4a to get -9a.

$$-9a+14=-16$$

Subtract 14 from both sides.

$$-9a=-16-14$$

Subtract 14 from -16 to get -30.

$$-9a=-30$$

Divide both sides by -9.

$$a=\frac{-30}{-9}$$

Reduce the fraction \frac{-30}{-9} to lowest terms by extracting and canceling out -3.

$$a=\frac{10}{3}$$