Solve 4t-(12t-24)+38t-38=0

$$4 t - ( 12 t - 24 ) + 38 t - 38 = 0$$

Solve for t

$$t=\frac{7}{15}\approx 0.466666667$$

Steps for Solving Linear Equation

To find the opposite of 12t-24, find the opposite of each term.

$$4t-12t-\left(-24\right)+38t-38=0$$

The opposite of -24 is 24.

$$4t-12t+24+38t-38=0$$

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

$$-8t+24+38t-38=0$$

Combine -8t and 38t to get 30t.

$$30t+24-38=0$$

Subtract 38 from 24 to get -14.

$$30t-14=0$$

Add 14 to both sides. Anything plus zero gives itself.

$$30t=14$$

Divide both sides by 30.

$$t=\frac{14}{30}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$t=\frac{7}{15}$$