Solve 7q-9/6=6q+2/4?

$$\frac { 7 q - 9 } { 6 } = \frac { 6 q + 2 } { 4 } ?$$

Solve for q

$$q=-6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 6,4.

$$2\left(7q-9\right)=3\left(6q+2\right)$$

Use the distributive property to multiply 2 by 7q-9.

$$14q-18=3\left(6q+2\right)$$

Use the distributive property to multiply 3 by 6q+2.

$$14q-18=18q+6$$

Subtract 18q from both sides.

$$14q-18-18q=6$$

Combine 14q and -18q to get -4q.

$$-4q-18=6$$

Add 18 to both sides.

$$-4q=6+18$$

Add 6 and 18 to get 24.

$$-4q=24$$

Divide both sides by -4.

$$q=\frac{24}{-4}$$

Divide 24 by -4 to get -6.

$$q=-6$$