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Solve 9x + 13 = 193

The solution of 9x + 13 = 193 is x = 20.

The lines y = 9x + 13 and y = 193 meet at x = 2014161820222426140160180200220240x = 20y = 9x + 13y = 193
The lines y = 9x + 13 and y = 193 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+13=1939x + 13 = 193
  2. 2

    Subtract 13 from both sides:

    9x+13−13=193−13 ⇒ 9x=1809x + 13 - 13 = 193 - 13 \ \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+13=180+13=193✓9\cdot20 + 13 = 180 + 13 = 193 \checkmark
LaTeX source of the formulas on this page
\[ 9x + 13 = 193\ \Rightarrow\ x = 20 \]
\[ 9x + 13 = 193 \]
\[ 9x + 13 - 13 = 193 - 13 \ \Rightarrow\ 9x = 180 \]
\[ \frac{9x}{9} = \frac{180}{9} \ \Rightarrow\ x = 20 \]
\[ 9\cdot20 + 13 = 180 + 13 = 193 \checkmark \]

Trying values of x in 9x + 13 = 193

x9x + 13Equals 193?
18175no
19184no
20193yes
21202no
22211no

Questions

What is x in 9x + 13 = 193?

The solution of 9x + 13 = 193 is x = 20.

How do you solve 9x + 13 = 193?

Subtract 13 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) + 13 = 193, which is 193.

Similar equations

    Solve 9x + 13 = 193: x = 20 (steps and check) | WordGPT