Solve 10-t=6/8t

$$10 - t = \frac { 6 } { 8 } t$$

Solve for t

$$t = \frac{40}{7} = 5\frac{5}{7} \approx 5.714285714$$

Steps for Solving Linear Equation

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$10-t=\frac{3}{4}t$$

Subtract \frac{3}{4}t from both sides.

$$10-t-\frac{3}{4}t=0$$

Combine -t and -\frac{3}{4}t to get -\frac{7}{4}t.

$$10-\frac{7}{4}t=0$$

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{7}{4}t=-10$$

Multiply both sides by -\frac{4}{7}, the reciprocal of -\frac{7}{4}.

$$t=-10\left(-\frac{4}{7}\right)$$

Express -10\left(-\frac{4}{7}\right) as a single fraction.

$$t=\frac{-10\left(-4\right)}{7}$$

Multiply -10 and -4 to get 40.

$$t=\frac{40}{7}$$