Solve 3t/2=6t+7/3

$$\frac { 3 t } { 2 } = \frac { 6 t + 7 } { 3 }$$

Solve for t

$$t = -\frac{14}{3} = -4\frac{2}{3} \approx -4.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\times 3t=2\left(6t+7\right)$$

Multiply 3 and 3 to get 9.

$$9t=2\left(6t+7\right)$$

Use the distributive property to multiply 2 by 6t+7.

$$9t=12t+14$$

Subtract 12t from both sides.

$$9t-12t=14$$

Combine 9t and -12t to get -3t.

$$-3t=14$$

Divide both sides by -3.

$$t=\frac{14}{-3}$$

Fraction \frac{14}{-3} can be rewritten as -\frac{14}{3} by extracting the negative sign.

$$t=-\frac{14}{3}$$