What is the value of a in the equation, 7 (4-a) = 3 (a-4)

Let's solve your equation step-by-step.

7 (4-a) = 3 (a-4)

Step 1: Simplify both sides of the equation.

7 (4-a) = 3 (a-4)

Simplify:

- 7a + 28 = 3a - 12

Step 2: Subtract 3a from both sides.

- 7a + 28 - 3a = 3a - 12 - 3a

- 10a + 28 = - 12

Step 3: Subtract 28 from both sides.

- 10a + 28 - 28 = - 12 - 28

- 10a = - 40

Step 4: Divide both sides by - 10.

- 10a / - 10 = - 40 / - 10

a=4

Answer:

a = 4