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Solve 9x + 14 = 140

The solution of 9x + 14 = 140 is x = 14.

The lines y = 9x + 14 and y = 140 meet at x = 14810121416182080100120140160180200x = 14y = 9x + 14y = 140
The lines y = 9x + 14 and y = 140 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 addition, then the multiplication.

    9x+14=1409x + 14 = 140
  2. 2

    Subtract 14 from both sides:

    9x+14−14=140−14 ⇒ 9x=1269x + 14 - 14 = 140 - 14 \ \Rightarrow\ 9x = 126
  3. 3

    Divide both sides by 9:

    9x9=1269 ⇒ x=14\frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    9⋅14+14=126+14=140✓9\cdot14 + 14 = 126 + 14 = 140 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 14 = 140\ \Rightarrow\ x = 14 \]
\[ 9x + 14 = 140 \]
\[ 9x + 14 - 14 = 140 - 14 \ \Rightarrow\ 9x = 126 \]
\[ \frac{9x}{9} = \frac{126}{9} \ \Rightarrow\ x = 14 \]
\[ 9\cdot14 + 14 = 126 + 14 = 140 \checkmark \]

Trying values of x in 9x + 14 = 140

x9x + 14Equals 140?
12122no
13131no
14140yes
15149no
16158no

Questions

What is x in 9x + 14 = 140?

The solution of 9x + 14 = 140 is x = 14.

How do you solve 9x + 14 = 140?

Subtract 14 from both sides to get 9x = 126, then divide both sides by 9 to get x = 14.

How do I check the answer?

Replace x by 14: 9(14) + 14 = 140, which is 140.

Similar equations

    Solve 9x + 14 = 140: x = 14 (steps and check) | WordGPT