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Solve 12x + 13 = 253

The solution of 12x + 13 = 253 is x = 20.

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The lines y = 12x + 13 and y = 253 meet at x = 2014161820222426180200220240260280300320340x = 20y = 12x + 13y = 253
The lines y = 12x + 13 and y = 253 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.

    12x+13=25312x + 13 = 253
  2. 2

    Subtract 13 from both sides:

    12x+13−13=253−13 ⇒ 12x=24012x + 13 - 13 = 253 - 13 \ \Rightarrow\ 12x = 240
  3. 3

    Divide both sides by 12:

    12x12=24012 ⇒ x=20\frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    12⋅20+13=240+13=253✓12\cdot20 + 13 = 240 + 13 = 253 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 253\ \Rightarrow\ x = 20 \]
\[ 12x + 13 = 253 \]
\[ 12x + 13 - 13 = 253 - 13 \ \Rightarrow\ 12x = 240 \]
\[ \frac{12x}{12} = \frac{240}{12} \ \Rightarrow\ x = 20 \]
\[ 12\cdot20 + 13 = 240 + 13 = 253 \checkmark \]

Trying values of x in 12x + 13 = 253

x12x + 13Equals 253?
18229no
19241no
20253yes
21265no
22277no

Questions

What is x in 12x + 13 = 253?

The solution of 12x + 13 = 253 is x = 20.

How do you solve 12x + 13 = 253?

Subtract 13 from both sides to get 12x = 240, then divide both sides by 12 to get x = 20.

How do I check the answer?

Replace x by 20: 12(20) + 13 = 253, which is 253.

Similar equations

    Solve 12x + 13 = 253: x = 20 (steps and check) | WordGPT