Solve a-4/7=a+11/2

$$\frac { a - 4 } { 7 } = \frac { a + 11 } { 2 }$$

Solve for a

$$a=-17$$

Steps for Solving Linear Equation

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

$$2\left(a-4\right)=7\left(a+11\right)$$

Use the distributive property to multiply 2 by a-4.

$$2a-8=7\left(a+11\right)$$

Use the distributive property to multiply 7 by a+11.

$$2a-8=7a+77$$

Subtract 7a from both sides.

$$2a-8-7a=77$$

Combine 2a and -7a to get -5a.

$$-5a-8=77$$

Add 8 to both sides.

$$-5a=77+8$$

Add 77 and 8 to get 85.

$$-5a=85$$

Divide both sides by -5.

$$a=\frac{85}{-5}$$

Divide 85 by -5 to get -17.

$$a=-17$$