Solve 10=T*(2.5div3)

$$10 = T \times (2.5 \div 3)$$

Solve for T

$$T=12$$

Steps for Solving Linear Equation

Expand \frac{2.5}{3} by multiplying both numerator and the denominator by 10.

$$10=T\times \frac{25}{30}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$10=T\times \frac{5}{6}$$

Swap sides so that all variable terms are on the left hand side.

$$T\times \frac{5}{6}=10$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$T=10\times \frac{6}{5}$$

Express 10\times \frac{6}{5} as a single fraction.

$$T=\frac{10\times 6}{5}$$

Multiply 10 and 6 to get 60.

$$T=\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$T=12$$