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Solve 6x āˆ’ 14 = 52

The solution of 6x āˆ’ 14 = 52 is x = 11.

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The lines y = 6x āˆ’ 14 and y = 52 meet at x = 116810121416102030405060708090x = 11y = 6x āˆ’ 14y = 52
The lines y = 6x āˆ’ 14 and y = 52 meet at x = 11. 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.

    6xāˆ’14=526x - 14 = 52
  2. 2

    Add 14 to both sides:

    6xāˆ’14+14=52+14Ā ā‡’Ā 6x=666x - 14 + 14 = 52 + 14 \ \Rightarrow\ 6x = 66
  3. 3

    Divide both sides by 6:

    6x6=666Ā ā‡’Ā x=11\frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    6ā‹…11āˆ’14=66āˆ’14=52āœ“6\cdot11 - 14 = 66 - 14 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 6x - 14 = 52\ \Rightarrow\ x = 11 \]
\[ 6x - 14 = 52 \]
\[ 6x - 14 + 14 = 52 + 14 \ \Rightarrow\ 6x = 66 \]
\[ \frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11 \]
\[ 6\cdot11 - 14 = 66 - 14 = 52 \checkmark \]

Trying values of x in 6x āˆ’ 14 = 52

x6x āˆ’ 14Equals 52?
940no
1046no
1152yes
1258no
1364no

Questions

What is x in 6x āˆ’ 14 = 52?

The solution of 6x āˆ’ 14 = 52 is x = 11.

How do you solve 6x āˆ’ 14 = 52?

Add 14 to both sides to get 6x = 66, then divide both sides by 6 to get x = 11.

How do I check the answer?

Replace x by 11: 6(11) āˆ’ 14 = 52, which is 52.

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    Solve 6x āˆ’ 14 = 52: x = 11 (steps and check) | WordGPT