Solve 4*20.786*(T-273.15)=2*24.455*(423.15-7)

$$4 \times 20.786 \times ( T - 273.15 ) = 2 \times 24.455 \times ( 423.15 - 7 )$$

Solve for T

$$T = \frac{430646801}{831440} = 517\frac{792321}{831440} \approx 517.952950303$$

Steps for Solving Linear Equation

Multiply 4 and 20.786 to get 83.144.

$$83.144\left(T-273.15\right)=2\times 24.455\left(423.15-7\right)$$

Use the distributive property to multiply 83.144 by T-273.15.

$$83.144T-22710.7836=2\times 24.455\left(423.15-7\right)$$

Multiply 2 and 24.455 to get 48.91.

$$83.144T-22710.7836=48.91\left(423.15-7\right)$$

Subtract 7 from 423.15 to get 416.15.

$$83.144T-22710.7836=48.91\times 416.15$$

Multiply 48.91 and 416.15 to get 20353.8965.

$$83.144T-22710.7836=20353.8965$$

Add 22710.7836 to both sides.

$$83.144T=20353.8965+22710.7836$$

Add 20353.8965 and 22710.7836 to get 43064.6801.

$$83.144T=43064.6801$$

Divide both sides by 83.144.

$$T=\frac{43064.6801}{83.144}$$

Expand \frac{43064.6801}{83.144} by multiplying both numerator and the denominator by 10000.

$$T=\frac{430646801}{831440}$$