Solve (3a-6)/7=(9a-132)/2

$$\frac { ( 3 a - 6 ) } { 7 } = \frac { ( 9 a - 132 ) } { 2 }$$

Solve for a

$$a=16$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2.

$$2\left(3a-6\right)=7\left(9a-132\right)$$

Use the distributive property to multiply 2 by 3a-6.

$$6a-12=7\left(9a-132\right)$$

Use the distributive property to multiply 7 by 9a-132.

$$6a-12=63a-924$$

Subtract 63a from both sides.

$$6a-12-63a=-924$$

Combine 6a and -63a to get -57a.

$$-57a-12=-924$$

Add 12 to both sides.

$$-57a=-924+12$$

Add -924 and 12 to get -912.

$$-57a=-912$$

Divide both sides by -57.

$$a=\frac{-912}{-57}$$

Divide -912 by -57 to get 16.

$$a=16$$