Question

Solve for x.

23=7/9(6x−36)+9

Answer 1

Step 1. Simplify 7/9(6x - 36) to 7(6x - 36)/9

23 = 7(6x - 36)/9 + 9

Step 2. Factor out the common term

23 = 7 * 6(x - 6)/9 + 9

Step 3. Simplify 7 * 6(x - 6) to 42(x - 6)

23 = 42(x - 6)/9 + 9

Step 4. Simplify 42(x - 6)/9 to 14(x - 6)/3

23 = 14(x - 6)/3 + 9

Step 5. Subtract 9 from both sides

23 - 9 = 14(x - 6)/3

Step 6. Simplify 23 - 9 to 14

14 = 14(x - 6)/3

Step 7. Multiply both sides by 3

14 * 3 = 14(x - 60

Step 8. Simplify 14 * 3 to 42

42 = 14(x - 6)

Step 9. Divide both sides by 14

42/14 to x - 6

Step 10. Simplify 42/14 to 3

3 = x - 6

Step 11. Add 6 to both sides

3 + 6 = x

Step 12. Simplify 3 + 6 to 9

9 = x

Step 13. Switch sides

x = 9