Solve 2/3+4pi=4T-2/15

$$\frac { 2 } { 3 } + 4 \pi = 4 T - \frac { 2 } { 15 }$$

Solve for T

$$T=\pi +\frac{1}{5}\approx 3.341592654$$

Steps for Solving Linear Equation

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

$$4T-\frac{2}{15}=\frac{2}{3}+4\pi$$

Add \frac{2}{15} to both sides.

$$4T=\frac{2}{3}+4\pi +\frac{2}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{2}{3} and \frac{2}{15} to fractions with denominator 15.

$$4T=\frac{10}{15}+4\pi +\frac{2}{15}$$

Since \frac{10}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.

$$4T=\frac{10+2}{15}+4\pi$$

Add 10 and 2 to get 12.

$$4T=\frac{12}{15}+4\pi$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$4T=\frac{4}{5}+4\pi$$

The equation is in standard form.

$$4T=4\pi +\frac{4}{5}$$

Divide both sides by 4.

$$\frac{4T}{4}=\frac{4\pi +\frac{4}{5}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$T=\frac{4\pi +\frac{4}{5}}{4}$$

Divide \frac{4}{5}+4\pi by 4.

$$T=\pi +\frac{1}{5}$$