Solve 64(t-3/4)=82t

$$64 ( t - \frac { 3 } { 4 } ) = 82 t$$

Solve for t

$$t = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 64 by t-\frac{3}{4}.

$$64t+64\left(-\frac{3}{4}\right)=82t$$

Express 64\left(-\frac{3}{4}\right) as a single fraction.

$$64t+\frac{64\left(-3\right)}{4}=82t$$

Multiply 64 and -3 to get -192.

$$64t+\frac{-192}{4}=82t$$

Divide -192 by 4 to get -48.

$$64t-48=82t$$

Subtract 82t from both sides.

$$64t-48-82t=0$$

Combine 64t and -82t to get -18t.

$$-18t-48=0$$

Add 48 to both sides. Anything plus zero gives itself.

$$-18t=48$$

Divide both sides by -18.

$$t=\frac{48}{-18}$$

Reduce the fraction \frac{48}{-18} to lowest terms by extracting and canceling out 6.

$$t=-\frac{8}{3}$$