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Solve 10x + 13 = 213

The solution of 10x + 13 = 213 is x = 20.

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The lines y = 10x + 13 and y = 213 meet at x = 2014161820222426160180200220240260280x = 20y = 10x + 13y = 213
The lines y = 10x + 13 and y = 213 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.

    10x+13=21310x + 13 = 213
  2. 2

    Subtract 13 from both sides:

    10x+13−13=213−13 ⇒ 10x=20010x + 13 - 13 = 213 - 13 \ \Rightarrow\ 10x = 200
  3. 3

    Divide both sides by 10:

    10x10=20010 ⇒ x=20\frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    10⋅20+13=200+13=213✓10\cdot20 + 13 = 200 + 13 = 213 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 213\ \Rightarrow\ x = 20 \]
\[ 10x + 13 = 213 \]
\[ 10x + 13 - 13 = 213 - 13 \ \Rightarrow\ 10x = 200 \]
\[ \frac{10x}{10} = \frac{200}{10} \ \Rightarrow\ x = 20 \]
\[ 10\cdot20 + 13 = 200 + 13 = 213 \checkmark \]

Trying values of x in 10x + 13 = 213

x10x + 13Equals 213?
18193no
19203no
20213yes
21223no
22233no

Questions

What is x in 10x + 13 = 213?

The solution of 10x + 13 = 213 is x = 20.

How do you solve 10x + 13 = 213?

Subtract 13 from both sides to get 10x = 200, then divide both sides by 10 to get x = 20.

How do I check the answer?

Replace x by 20: 10(20) + 13 = 213, which is 213.

Similar equations

    Solve 10x + 13 = 213: x = 20 (steps and check) | WordGPT