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Solve 3x āˆ’ 14 = 7

The solution of 3x āˆ’ 14 = 7 is x = 7.

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The lines y = 3x āˆ’ 14 and y = 7 meet at x = 724681012-10-5510152025x = 7y = 3x āˆ’ 14y = 7
The lines y = 3x āˆ’ 14 and y = 7 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.

    3xāˆ’14=73x - 14 = 7
  2. 2

    Add 14 to both sides:

    3xāˆ’14+14=7+14Ā ā‡’Ā 3x=213x - 14 + 14 = 7 + 14 \ \Rightarrow\ 3x = 21
  3. 3

    Divide both sides by 3:

    3x3=213Ā ā‡’Ā x=7\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    3ā‹…7āˆ’14=21āˆ’14=7āœ“3\cdot7 - 14 = 21 - 14 = 7 \checkmark
LaTeX source of the formulas on this page
\[ 3x - 14 = 7\ \Rightarrow\ x = 7 \]
\[ 3x - 14 = 7 \]
\[ 3x - 14 + 14 = 7 + 14 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 - 14 = 21 - 14 = 7 \checkmark \]

Trying values of x in 3x āˆ’ 14 = 7

x3x āˆ’ 14Equals 7?
51no
64no
77yes
810no
913no

Questions

What is x in 3x āˆ’ 14 = 7?

The solution of 3x āˆ’ 14 = 7 is x = 7.

How do you solve 3x āˆ’ 14 = 7?

Add 14 to both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) āˆ’ 14 = 7, which is 7.

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