Solve (5t-2/3)+2t=10t-5/3

$$( 5 t - \frac { 2 } { 3 } ) + 2 t = 10 t - \frac { 5 } { 3 }$$

Solve for t

$$t=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Combine 5t and 2t to get 7t.

$$7t-\frac{2}{3}=10t-\frac{5}{3}$$

Subtract 10t from both sides.

$$7t-\frac{2}{3}-10t=-\frac{5}{3}$$

Combine 7t and -10t to get -3t.

$$-3t-\frac{2}{3}=-\frac{5}{3}$$

Add \frac{2}{3} to both sides.

$$-3t=-\frac{5}{3}+\frac{2}{3}$$

Since -\frac{5}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$-3t=\frac{-5+2}{3}$$

Add -5 and 2 to get -3.

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

Divide -3 by 3 to get -1.

$$-3t=-1$$

Divide both sides by -3.

$$t=\frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

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