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Solve 12x + 13 = 169

The solution of 12x + 13 = 169 is x = 13.

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The lines y = 12x + 13 and y = 169 meet at x = 1381012141618100120140160180200220240x = 13y = 12x + 13y = 169
The lines y = 12x + 13 and y = 169 meet at x = 13. 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.

    12x+13=16912x + 13 = 169
  2. 2

    Subtract 13 from both sides:

    12x+13−13=169−13 ⇒ 12x=15612x + 13 - 13 = 169 - 13 \ \Rightarrow\ 12x = 156
  3. 3

    Divide both sides by 12:

    12x12=15612 ⇒ x=13\frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    12⋅13+13=156+13=169✓12\cdot13 + 13 = 156 + 13 = 169 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 169\ \Rightarrow\ x = 13 \]
\[ 12x + 13 = 169 \]
\[ 12x + 13 - 13 = 169 - 13 \ \Rightarrow\ 12x = 156 \]
\[ \frac{12x}{12} = \frac{156}{12} \ \Rightarrow\ x = 13 \]
\[ 12\cdot13 + 13 = 156 + 13 = 169 \checkmark \]

Trying values of x in 12x + 13 = 169

x12x + 13Equals 169?
11145no
12157no
13169yes
14181no
15193no

Questions

What is x in 12x + 13 = 169?

The solution of 12x + 13 = 169 is x = 13.

How do you solve 12x + 13 = 169?

Subtract 13 from both sides to get 12x = 156, then divide both sides by 12 to get x = 13.

How do I check the answer?

Replace x by 13: 12(13) + 13 = 169, which is 169.

Similar equations

    Solve 12x + 13 = 169: x = 13 (steps and check) | WordGPT