Solve 12-2t/4t=2t/8-4t

$$\frac { 12 - 2 t } { 4 t } = \frac { 2 t } { 8 - 4 t }$$

Solve for t

$$t = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

Variable t cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by 4t\left(t-2\right), the least common multiple of 4t,8-4t.

$$\left(t-2\right)\left(12-2t\right)=-t\times 2t$$

Use the distributive property to multiply t-2 by 12-2t and combine like terms.

$$16t-2t^{2}-24=-t\times 2t$$

Multiply t and t to get t^{2}.

$$16t-2t^{2}-24=-t^{2}\times 2$$

Multiply -1 and 2 to get -2.

$$16t-2t^{2}-24=-2t^{2}$$

Add 2t^{2} to both sides.

$$16t-2t^{2}-24+2t^{2}=0$$

Combine -2t^{2} and 2t^{2} to get 0.

$$16t-24=0$$

Add 24 to both sides. Anything plus zero gives itself.

$$16t=24$$

Divide both sides by 16.

$$t=\frac{24}{16}$$

Reduce the fraction \frac{24}{16} to lowest terms by extracting and canceling out 8.

$$t=\frac{3}{2}$$