3/4 (2a - 6) + 1/2 = 2/5 (3a + 20) what is the value of a

A = 40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3/4 (2a-6) + 1/2=2/5 (3a+20)

(3/4) (2a) + (3/4) (-6) + 1/2 = (3a) + (2/5) (20)

(distribute)

3/2a + - 9/2 + 1/2 = 6/5a + 8

(3/2 a) + (-9/2 + 1/2) = 6/5a + 8 (Combine like terms)

3/2a + - 4 = 6/5a + 8

3/2a - 4 = 6/5a+8

Step 2: Subtract 6/5a from both sides.

3/2a - 4 - 6/5 a = 6/5a + 8 - 6/5 a

3/10 a - 4 = 8

Step 3: Add 4 to both sides.

3/10a - 4 + 4 = 8 + 4

3/10 a = 12

Step 4: Multiply both sides by 10/3

(10/3) * (3/10a) = (10/3) * (12)

a = 40