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Solve 7x āˆ’ 14 = 119

The solution of 7x āˆ’ 14 = 119 is x = 19.

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The lines y = 7x āˆ’ 14 and y = 119 meet at x = 1914161820222480100120140160x = 19y = 7x āˆ’ 14y = 119
The lines y = 7x āˆ’ 14 and y = 119 meet at x = 19. 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=1197x - 14 = 119
  2. 2

    Add 14 to both sides:

    7xāˆ’14+14=119+14Ā ā‡’Ā 7x=1337x - 14 + 14 = 119 + 14 \ \Rightarrow\ 7x = 133
  3. 3

    Divide both sides by 7:

    7x7=1337Ā ā‡’Ā x=19\frac{7x}{7} = \frac{133}{7} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    7ā‹…19āˆ’14=133āˆ’14=119āœ“7\cdot19 - 14 = 133 - 14 = 119 \checkmark
LaTeX source of the formulas on this page
\[ 7x - 14 = 119\ \Rightarrow\ x = 19 \]
\[ 7x - 14 = 119 \]
\[ 7x - 14 + 14 = 119 + 14 \ \Rightarrow\ 7x = 133 \]
\[ \frac{7x}{7} = \frac{133}{7} \ \Rightarrow\ x = 19 \]
\[ 7\cdot19 - 14 = 133 - 14 = 119 \checkmark \]

Trying values of x in 7x āˆ’ 14 = 119

x7x āˆ’ 14Equals 119?
17105no
18112no
19119yes
20126no
21133no

Questions

What is x in 7x āˆ’ 14 = 119?

The solution of 7x āˆ’ 14 = 119 is x = 19.

How do you solve 7x āˆ’ 14 = 119?

Add 14 to both sides to get 7x = 133, then divide both sides by 7 to get x = 19.

How do I check the answer?

Replace x by 19: 7(19) āˆ’ 14 = 119, which is 119.

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