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Solve 6x āˆ’ 14 = 28

The solution of 6x āˆ’ 14 = 28 is x = 7.

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The lines y = 6x āˆ’ 14 and y = 28 meet at x = 724681012-1010203040506070x = 7y = 6x āˆ’ 14y = 28
The lines y = 6x āˆ’ 14 and y = 28 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.

    6xāˆ’14=286x - 14 = 28
  2. 2

    Add 14 to both sides:

    6xāˆ’14+14=28+14Ā ā‡’Ā 6x=426x - 14 + 14 = 28 + 14 \ \Rightarrow\ 6x = 42
  3. 3

    Divide both sides by 6:

    6x6=426Ā ā‡’Ā x=7\frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    6ā‹…7āˆ’14=42āˆ’14=28āœ“6\cdot7 - 14 = 42 - 14 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 6x - 14 = 28\ \Rightarrow\ x = 7 \]
\[ 6x - 14 = 28 \]
\[ 6x - 14 + 14 = 28 + 14 \ \Rightarrow\ 6x = 42 \]
\[ \frac{6x}{6} = \frac{42}{6} \ \Rightarrow\ x = 7 \]
\[ 6\cdot7 - 14 = 42 - 14 = 28 \checkmark \]

Trying values of x in 6x āˆ’ 14 = 28

x6x āˆ’ 14Equals 28?
516no
622no
728yes
834no
940no

Questions

What is x in 6x āˆ’ 14 = 28?

The solution of 6x āˆ’ 14 = 28 is x = 7.

How do you solve 6x āˆ’ 14 = 28?

Add 14 to both sides to get 6x = 42, then divide both sides by 6 to get x = 7.

How do I check the answer?

Replace x by 7: 6(7) āˆ’ 14 = 28, which is 28.

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