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Solve 8x āˆ’ 14 = 42

The solution of 8x āˆ’ 14 = 42 is x = 7.

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The lines y = 8x āˆ’ 14 and y = 42 meet at x = 72468101220406080100x = 7y = 8x āˆ’ 14y = 42
The lines y = 8x āˆ’ 14 and y = 42 meet at x = 7. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the subtraction, then the multiplication.

    8xāˆ’14=428x - 14 = 42
  2. 2

    Add 14 to both sides:

    8xāˆ’14+14=42+14Ā ā‡’Ā 8x=568x - 14 + 14 = 42 + 14 \ \Rightarrow\ 8x = 56
  3. 3

    Divide both sides by 8:

    8x8=568Ā ā‡’Ā x=7\frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    8ā‹…7āˆ’14=56āˆ’14=42āœ“8\cdot7 - 14 = 56 - 14 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 8x - 14 = 42\ \Rightarrow\ x = 7 \]
\[ 8x - 14 = 42 \]
\[ 8x - 14 + 14 = 42 + 14 \ \Rightarrow\ 8x = 56 \]
\[ \frac{8x}{8} = \frac{56}{8} \ \Rightarrow\ x = 7 \]
\[ 8\cdot7 - 14 = 56 - 14 = 42 \checkmark \]

Trying values of x in 8x āˆ’ 14 = 42

x8x āˆ’ 14Equals 42?
526no
634no
742yes
850no
958no

Questions

What is x in 8x āˆ’ 14 = 42?

The solution of 8x āˆ’ 14 = 42 is x = 7.

How do you solve 8x āˆ’ 14 = 42?

Add 14 to both sides to get 8x = 56, then divide both sides by 8 to get x = 7.

How do I check the answer?

Replace x by 7: 8(7) āˆ’ 14 = 42, which is 42.

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