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Solve 10x + 13 = 133

The solution of 10x + 13 = 133 is x = 12.

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The lines y = 10x + 13 and y = 133 meet at x = 1268101214161880100120140160180200x = 12y = 10x + 13y = 133
The lines y = 10x + 13 and y = 133 meet at x = 12. 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=13310x + 13 = 133
  2. 2

    Subtract 13 from both sides:

    10x+13−13=133−13 ⇒ 10x=12010x + 13 - 13 = 133 - 13 \ \Rightarrow\ 10x = 120
  3. 3

    Divide both sides by 10:

    10x10=12010 ⇒ x=12\frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    10⋅12+13=120+13=133✓10\cdot12 + 13 = 120 + 13 = 133 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 13 = 133\ \Rightarrow\ x = 12 \]
\[ 10x + 13 = 133 \]
\[ 10x + 13 - 13 = 133 - 13 \ \Rightarrow\ 10x = 120 \]
\[ \frac{10x}{10} = \frac{120}{10} \ \Rightarrow\ x = 12 \]
\[ 10\cdot12 + 13 = 120 + 13 = 133 \checkmark \]

Trying values of x in 10x + 13 = 133

x10x + 13Equals 133?
10113no
11123no
12133yes
13143no
14153no

Questions

What is x in 10x + 13 = 133?

The solution of 10x + 13 = 133 is x = 12.

How do you solve 10x + 13 = 133?

Subtract 13 from both sides to get 10x = 120, then divide both sides by 10 to get x = 12.

How do I check the answer?

Replace x by 12: 10(12) + 13 = 133, which is 133.

Similar equations

    Solve 10x + 13 = 133: x = 12 (steps and check) | WordGPT