Solve 5t-3/3=9(t+1)/7

$$\frac { 5 t - 3 } { 3 } = \frac { 9 ( t + 1 ) } { 7 }$$

Solve for t

$$t=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7\left(5t-3\right)=3\times 9\left(t+1\right)$$

Use the distributive property to multiply 7 by 5t-3.

$$35t-21=3\times 9\left(t+1\right)$$

Multiply 3 and 9 to get 27.

$$35t-21=27\left(t+1\right)$$

Use the distributive property to multiply 27 by t+1.

$$35t-21=27t+27$$

Subtract 27t from both sides.

$$35t-21-27t=27$$

Combine 35t and -27t to get 8t.

$$8t-21=27$$

Add 21 to both sides.

$$8t=27+21$$

Add 27 and 21 to get 48.

$$8t=48$$

Divide both sides by 8.

$$t=\frac{48}{8}$$

Divide 48 by 8 to get 6.

$$t=6$$