Help, please and thanks

Question

Solve the following equation.    

Answer 1

First, get rid of the parenthesis by multiplying both terms by 0.07.

0.05 x + 0.07x + 28 = 64.

Second, combine like terms.

0.12x + 28 = 64

Third, isolate the term containing the variable by subtracting 28 from both sides.

0.12 x = 36

Finally, isolate the variable by dividing both sides by 0.12

x = 300 Check by substituting 300 for x in the original equation. So, 15 + 49 = 64

Answer 2

To solve this, you must "isolate the variable". That is, get the x-terms together on one side of the equation, and the constants together on the other side, and then get x by itself.

I think it's easiest to get rid of the decimals to begin.

1. Multiply both sides of the equation by 100.
2. 100(0.05x+0.07(x+400))=100(64)
3. 5x+7(x+400)=6400
4. Distribute the 7
5. 5x+7(x)+7(400)=6400
6. 5x+7x+2800=6400
7. Subtract 2800 from both sides
8. 5x+7x=6400-2800
9. Combine like terms
10. 12x=3600
11. Divide both sides by 12.
12. x=3600/12
13. x=300
14. Check your answer by substituting the value for x into the original equation.
15. 0.05(300)+0.07(300+400) = 15 + 49 = 64