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Solve 6x āˆ’ 14 = 106

The solution of 6x āˆ’ 14 = 106 is x = 20.

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The lines y = 6x āˆ’ 14 and y = 106 meet at x = 2014161820222426708090100110120130140x = 20y = 6x āˆ’ 14y = 106
The lines y = 6x āˆ’ 14 and y = 106 meet at x = 20. 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=1066x - 14 = 106
  2. 2

    Add 14 to both sides:

    6xāˆ’14+14=106+14Ā ā‡’Ā 6x=1206x - 14 + 14 = 106 + 14 \ \Rightarrow\ 6x = 120
  3. 3

    Divide both sides by 6:

    6x6=1206Ā ā‡’Ā x=20\frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    6ā‹…20āˆ’14=120āˆ’14=106āœ“6\cdot20 - 14 = 120 - 14 = 106 \checkmark
LaTeX source of the formulas on this page
\[ 6x - 14 = 106\ \Rightarrow\ x = 20 \]
\[ 6x - 14 = 106 \]
\[ 6x - 14 + 14 = 106 + 14 \ \Rightarrow\ 6x = 120 \]
\[ \frac{6x}{6} = \frac{120}{6} \ \Rightarrow\ x = 20 \]
\[ 6\cdot20 - 14 = 120 - 14 = 106 \checkmark \]

Trying values of x in 6x āˆ’ 14 = 106

x6x āˆ’ 14Equals 106?
1894no
19100no
20106yes
21112no
22118no

Questions

What is x in 6x āˆ’ 14 = 106?

The solution of 6x āˆ’ 14 = 106 is x = 20.

How do you solve 6x āˆ’ 14 = 106?

Add 14 to both sides to get 6x = 120, then divide both sides by 6 to get x = 20.

How do I check the answer?

Replace x by 20: 6(20) āˆ’ 14 = 106, which is 106.

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