Solve 16-2t/12=t/16

$$\frac { 16 - 2 t } { 12 } = \frac { t } { 16 }$$

Solve for t

$$t = \frac{64}{11} = 5\frac{9}{11} \approx 5.818181818$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 48, the least common multiple of 12,16.

$$4\left(16-2t\right)=3t$$

Use the distributive property to multiply 4 by 16-2t.

$$64-8t=3t$$

Subtract 3t from both sides.

$$64-8t-3t=0$$

Combine -8t and -3t to get -11t.

$$64-11t=0$$

Subtract 64 from both sides. Anything subtracted from zero gives its negation.

$$-11t=-64$$

Divide both sides by -11.

$$t=\frac{-64}{-11}$$

Fraction \frac{-64}{-11} can be simplified to \frac{64}{11} by removing the negative sign from both the numerator and the denominator.

$$t=\frac{64}{11}$$