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Solve 10x + 13 = 193

The solution of 10x + 13 = 193 is x = 18.

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The lines y = 10x + 13 and y = 193 meet at x = 1812141618202224140160180200220240260x = 18y = 10x + 13y = 193
The lines y = 10x + 13 and y = 193 meet at x = 18. 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.

    10x+13=19310x + 13 = 193
  2. 2

    Subtract 13 from both sides:

    10x+13−13=193−13 ⇒ 10x=18010x + 13 - 13 = 193 - 13 \ \Rightarrow\ 10x = 180
  3. 3

    Divide both sides by 10:

    10x10=18010 ⇒ x=18\frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    10⋅18+13=180+13=193✓10\cdot18 + 13 = 180 + 13 = 193 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 193\ \Rightarrow\ x = 18 \]
\[ 10x + 13 = 193 \]
\[ 10x + 13 - 13 = 193 - 13 \ \Rightarrow\ 10x = 180 \]
\[ \frac{10x}{10} = \frac{180}{10} \ \Rightarrow\ x = 18 \]
\[ 10\cdot18 + 13 = 180 + 13 = 193 \checkmark \]

Trying values of x in 10x + 13 = 193

x10x + 13Equals 193?
16173no
17183no
18193yes
19203no
20213no

Questions

What is x in 10x + 13 = 193?

The solution of 10x + 13 = 193 is x = 18.

How do you solve 10x + 13 = 193?

Subtract 13 from both sides to get 10x = 180, then divide both sides by 10 to get x = 18.

How do I check the answer?

Replace x by 18: 10(18) + 13 = 193, which is 193.

Similar equations

    Solve 10x + 13 = 193: x = 18 (steps and check) | WordGPT