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11 May, 16:31

Solve for x.

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

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Answers (1)
  1. 11 May, 17:23
    0
    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
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