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Solve 9x āˆ’ 14 = 157

The solution of 9x āˆ’ 14 = 157 is x = 19.

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The lines y = 9x āˆ’ 14 and y = 157 meet at x = 19141618202224100120140160180200220x = 19y = 9x āˆ’ 14y = 157
The lines y = 9x āˆ’ 14 and y = 157 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.

    9xāˆ’14=1579x - 14 = 157
  2. 2

    Add 14 to both sides:

    9xāˆ’14+14=157+14Ā ā‡’Ā 9x=1719x - 14 + 14 = 157 + 14 \ \Rightarrow\ 9x = 171
  3. 3

    Divide both sides by 9:

    9x9=1719Ā ā‡’Ā x=19\frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    9ā‹…19āˆ’14=171āˆ’14=157āœ“9\cdot19 - 14 = 171 - 14 = 157 \checkmark
LaTeX source of the formulas on this page
\[ 9x - 14 = 157\ \Rightarrow\ x = 19 \]
\[ 9x - 14 = 157 \]
\[ 9x - 14 + 14 = 157 + 14 \ \Rightarrow\ 9x = 171 \]
\[ \frac{9x}{9} = \frac{171}{9} \ \Rightarrow\ x = 19 \]
\[ 9\cdot19 - 14 = 171 - 14 = 157 \checkmark \]

Trying values of x in 9x āˆ’ 14 = 157

x9x āˆ’ 14Equals 157?
17139no
18148no
19157yes
20166no
21175no

Questions

What is x in 9x āˆ’ 14 = 157?

The solution of 9x āˆ’ 14 = 157 is x = 19.

How do you solve 9x āˆ’ 14 = 157?

Add 14 to both sides to get 9x = 171, then divide both sides by 9 to get x = 19.

How do I check the answer?

Replace x by 19: 9(19) āˆ’ 14 = 157, which is 157.

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    Solve 9x āˆ’ 14 = 157: x = 19 (steps and check) | WordGPT