Solve (a+6)/2=(a-1)/3

$$\frac { ( a + 6 ) } { 2 } = \frac { ( a - 1 ) } { 3 }$$

Solve for a

$$a=-20$$

Steps for Solving Linear Equation

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

$$3\left(a+6\right)=2\left(a-1\right)$$

Use the distributive property to multiply 3 by a+6.

$$3a+18=2\left(a-1\right)$$

Use the distributive property to multiply 2 by a-1.

$$3a+18=2a-2$$

Subtract 2a from both sides.

$$3a+18-2a=-2$$

Combine 3a and -2a to get a.

$$a+18=-2$$

Subtract 18 from both sides.

$$a=-2-18$$

Subtract 18 from -2 to get -20.

$$a=-20$$