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Solve 9x + 14 = 194

The solution of 9x + 14 = 194 is x = 20.

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The lines y = 9x + 14 and y = 194 meet at x = 2014161820222426140160180200220240x = 20y = 9x + 14y = 194
The lines y = 9x + 14 and y = 194 meet at x = 20. 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=1949x + 14 = 194
  2. 2

    Subtract 14 from both sides:

    9x+14−14=194−14 ⇒ 9x=1809x + 14 - 14 = 194 - 14 \ \Rightarrow\ 9x = 180
  3. 3

    Divide both sides by 9:

    9x9=1809 ⇒ x=20\frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    9⋅20+14=180+14=194✓9\cdot20 + 14 = 180 + 14 = 194 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 14 = 194\ \Rightarrow\ x = 20 \]
\[ 9x + 14 = 194 \]
\[ 9x + 14 - 14 = 194 - 14 \ \Rightarrow\ 9x = 180 \]
\[ \frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20 \]
\[ 9\cdot20 + 14 = 180 + 14 = 194 \checkmark \]

Trying values of x in 9x + 14 = 194

x9x + 14Equals 194?
18176no
19185no
20194yes
21203no
22212no

Questions

What is x in 9x + 14 = 194?

The solution of 9x + 14 = 194 is x = 20.

How do you solve 9x + 14 = 194?

Subtract 14 from both sides to get 9x = 180, then divide both sides by 9 to get x = 20.

How do I check the answer?

Replace x by 20: 9(20) + 14 = 194, which is 194.

Similar equations

    Solve 9x + 14 = 194: x = 20 (steps and check) | WordGPT