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Solve 10x + 13 = 53

The solution of 10x + 13 = 53 is x = 4.

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The lines y = 10x + 13 and y = 53 meet at x = 4-224681020406080100120x = 4y = 10x + 13y = 53
The lines y = 10x + 13 and y = 53 meet at x = 4. 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=5310x + 13 = 53
  2. 2

    Subtract 13 from both sides:

    10x+13−13=53−13 ⇒ 10x=4010x + 13 - 13 = 53 - 13 \ \Rightarrow\ 10x = 40
  3. 3

    Divide both sides by 10:

    10x10=4010 ⇒ x=4\frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    10⋅4+13=40+13=53✓10\cdot4 + 13 = 40 + 13 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 53\ \Rightarrow\ x = 4 \]
\[ 10x + 13 = 53 \]
\[ 10x + 13 - 13 = 53 - 13 \ \Rightarrow\ 10x = 40 \]
\[ \frac{10x}{10} = \frac{40}{10} \ \Rightarrow\ x = 4 \]
\[ 10\cdot4 + 13 = 40 + 13 = 53 \checkmark \]

Trying values of x in 10x + 13 = 53

x10x + 13Equals 53?
233no
343no
453yes
563no
673no

Questions

What is x in 10x + 13 = 53?

The solution of 10x + 13 = 53 is x = 4.

How do you solve 10x + 13 = 53?

Subtract 13 from both sides to get 10x = 40, then divide both sides by 10 to get x = 4.

How do I check the answer?

Replace x by 4: 10(4) + 13 = 53, which is 53.

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    Solve 10x + 13 = 53: x = 4 (steps and check) | WordGPT