Solve 4*20786*(T-27315)=2*24455*(42315-7)

$$4 \times 20786 \times ( T - 27315 ) = 2 \times 24455 \times ( 42315 - 7 )$$

Solve for T

$$T = \frac{542545330}{10393} = 52202\frac{9944}{10393} \approx 52202.956797845$$

Steps for Solving Linear Equation

Multiply 4 and 20786 to get 83144.

$$83144\left(T-27315\right)=2\times 24455\left(42315-7\right)$$

Use the distributive property to multiply 83144 by T-27315.

$$83144T-2271078360=2\times 24455\left(42315-7\right)$$

Multiply 2 and 24455 to get 48910.

$$83144T-2271078360=48910\left(42315-7\right)$$

Subtract 7 from 42315 to get 42308.

$$83144T-2271078360=48910\times 42308$$

Multiply 48910 and 42308 to get 2069284280.

$$83144T-2271078360=2069284280$$

Add 2271078360 to both sides.

$$83144T=2069284280+2271078360$$

Add 2069284280 and 2271078360 to get 4340362640.

$$83144T=4340362640$$

Divide both sides by 83144.

$$T=\frac{4340362640}{83144}$$

Reduce the fraction \frac{4340362640}{83144} to lowest terms by extracting and canceling out 8.

$$T=\frac{542545330}{10393}$$