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Solve 5x āˆ’ 14 = 56

The solution of 5x āˆ’ 14 = 56 is x = 14.

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The lines y = 5x āˆ’ 14 and y = 56 meet at x = 1481012141618202030405060708090x = 14y = 5x āˆ’ 14y = 56
The lines y = 5x āˆ’ 14 and y = 56 meet at x = 14. 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.

    5xāˆ’14=565x - 14 = 56
  2. 2

    Add 14 to both sides:

    5xāˆ’14+14=56+14Ā ā‡’Ā 5x=705x - 14 + 14 = 56 + 14 \ \Rightarrow\ 5x = 70
  3. 3

    Divide both sides by 5:

    5x5=705Ā ā‡’Ā x=14\frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    5ā‹…14āˆ’14=70āˆ’14=56āœ“5\cdot14 - 14 = 70 - 14 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 5x - 14 = 56\ \Rightarrow\ x = 14 \]
\[ 5x - 14 = 56 \]
\[ 5x - 14 + 14 = 56 + 14 \ \Rightarrow\ 5x = 70 \]
\[ \frac{5x}{5} = \frac{70}{5} \ \Rightarrow\ x = 14 \]
\[ 5\cdot14 - 14 = 70 - 14 = 56 \checkmark \]

Trying values of x in 5x āˆ’ 14 = 56

x5x āˆ’ 14Equals 56?
1246no
1351no
1456yes
1561no
1666no

Questions

What is x in 5x āˆ’ 14 = 56?

The solution of 5x āˆ’ 14 = 56 is x = 14.

How do you solve 5x āˆ’ 14 = 56?

Add 14 to both sides to get 5x = 70, then divide both sides by 5 to get x = 14.

How do I check the answer?

Replace x by 14: 5(14) āˆ’ 14 = 56, which is 56.

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