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Solve 7x āˆ’ 14 = 28

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

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The lines y = 7x āˆ’ 14 and y = 28 meet at x = 624681012-20204060x = 6y = 7x āˆ’ 14y = 28
The lines y = 7x āˆ’ 14 and y = 28 meet at x = 6. 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.

    7xāˆ’14=287x - 14 = 28
  2. 2

    Add 14 to both sides:

    7xāˆ’14+14=28+14Ā ā‡’Ā 7x=427x - 14 + 14 = 28 + 14 \ \Rightarrow\ 7x = 42
  3. 3

    Divide both sides by 7:

    7x7=427Ā ā‡’Ā x=6\frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    7ā‹…6āˆ’14=42āˆ’14=28āœ“7\cdot6 - 14 = 42 - 14 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 7x - 14 = 28\ \Rightarrow\ x = 6 \]
\[ 7x - 14 = 28 \]
\[ 7x - 14 + 14 = 28 + 14 \ \Rightarrow\ 7x = 42 \]
\[ \frac{7x}{7} = \frac{42}{7} \ \Rightarrow\ x = 6 \]
\[ 7\cdot6 - 14 = 42 - 14 = 28 \checkmark \]

Trying values of x in 7x āˆ’ 14 = 28

x7x āˆ’ 14Equals 28?
414no
521no
628yes
735no
842no

Questions

What is x in 7x āˆ’ 14 = 28?

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

How do you solve 7x āˆ’ 14 = 28?

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

How do I check the answer?

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

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    Solve 7x āˆ’ 14 = 28: x = 6 (steps and check) | WordGPT