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Solve 12x + 13 = 97

The solution of 12x + 13 = 97 is x = 7.

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The lines y = 12x + 13 and y = 97 meet at x = 72468101220406080100120140160180x = 7y = 12x + 13y = 97
The lines y = 12x + 13 and y = 97 meet at x = 7. 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=9712x + 13 = 97
  2. 2

    Subtract 13 from both sides:

    12x+13−13=97−13 ⇒ 12x=8412x + 13 - 13 = 97 - 13 \ \Rightarrow\ 12x = 84
  3. 3

    Divide both sides by 12:

    12x12=8412 ⇒ x=7\frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    12⋅7+13=84+13=97✓12\cdot7 + 13 = 84 + 13 = 97 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 13 = 97\ \Rightarrow\ x = 7 \]
\[ 12x + 13 = 97 \]
\[ 12x + 13 - 13 = 97 - 13 \ \Rightarrow\ 12x = 84 \]
\[ \frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7 \]
\[ 12\cdot7 + 13 = 84 + 13 = 97 \checkmark \]

Trying values of x in 12x + 13 = 97

x12x + 13Equals 97?
573no
685no
797yes
8109no
9121no

Questions

What is x in 12x + 13 = 97?

The solution of 12x + 13 = 97 is x = 7.

How do you solve 12x + 13 = 97?

Subtract 13 from both sides to get 12x = 84, then divide both sides by 12 to get x = 7.

How do I check the answer?

Replace x by 7: 12(7) + 13 = 97, which is 97.

Similar equations

    Solve 12x + 13 = 97: x = 7 (steps and check) | WordGPT