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Solve 12x + 13 = 205

The solution of 12x + 13 = 205 is x = 16.

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The lines y = 12x + 13 and y = 205 meet at x = 1610121416182022120140160180200220240260280x = 16y = 12x + 13y = 205
The lines y = 12x + 13 and y = 205 meet at x = 16. 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=20512x + 13 = 205
  2. 2

    Subtract 13 from both sides:

    12x+13−13=205−13 ⇒ 12x=19212x + 13 - 13 = 205 - 13 \ \Rightarrow\ 12x = 192
  3. 3

    Divide both sides by 12:

    12x12=19212 ⇒ x=16\frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    12⋅16+13=192+13=205✓12\cdot16 + 13 = 192 + 13 = 205 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 205\ \Rightarrow\ x = 16 \]
\[ 12x + 13 = 205 \]
\[ 12x + 13 - 13 = 205 - 13 \ \Rightarrow\ 12x = 192 \]
\[ \frac{12x}{12} = \frac{192}{12} \ \Rightarrow\ x = 16 \]
\[ 12\cdot16 + 13 = 192 + 13 = 205 \checkmark \]

Trying values of x in 12x + 13 = 205

x12x + 13Equals 205?
14181no
15193no
16205yes
17217no
18229no

Questions

What is x in 12x + 13 = 205?

The solution of 12x + 13 = 205 is x = 16.

How do you solve 12x + 13 = 205?

Subtract 13 from both sides to get 12x = 192, then divide both sides by 12 to get x = 16.

How do I check the answer?

Replace x by 16: 12(16) + 13 = 205, which is 205.

Similar equations

    Solve 12x + 13 = 205: x = 16 (steps and check) | WordGPT