Question

What is the solution of the equation? Show all of your steps arriving at your final solution.

1/5(4x - 2.5) = 5(0.4x + 10) + 3 1/2

Answer 1

Answer: 7.34375

Explanation:

Answer step bby step:

1. Isolate the variable:

1/5(4x - 2.5) = 5(0.4x + 10) + 3 1/2

5(0.4x + 10) + 3 1/2 = 1/5(4x - 2.5)

2. Multiply both sides by 5:

2(0.4x + 10) + 3 1/2 = 4x - 2.5

3. Subtract 2(0.4x + 10) from both sides:

3 1/2 = 4x - 2(0.4x + 10)

4. Subtract 3 1/2 from both sides:

0 = 4x - 2(0.4x + 10) - 3 1/2

5. Distribute the -2 to the parentheses:

0 = 4x - 0.8x - 20 - 3 1/2

6. Combine like terms:

0 = 3.2x - 23.5

7. Divide both sides by 3.2:

x = 7.34375