Solve t+3/5=2t+3/9

$$\frac { t + 3 } { 5 } = \frac { 2 t + 3 } { 9 }$$

Solve for t

$$t=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 5,9.

$$9\left(t+3\right)=5\left(2t+3\right)$$

Use the distributive property to multiply 9 by t+3.

$$9t+27=5\left(2t+3\right)$$

Use the distributive property to multiply 5 by 2t+3.

$$9t+27=10t+15$$

Subtract 10t from both sides.

$$9t+27-10t=15$$

Combine 9t and -10t to get -t.

$$-t+27=15$$

Subtract 27 from both sides.

$$-t=15-27$$

Subtract 27 from 15 to get -12.

$$-t=-12$$

Multiply both sides by -1.

$$t=12$$