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Solve 12x + 7 = 91

The solution of 12x + 7 = 91 is x = 7.

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The lines y = 12x + 7 and y = 91 meet at x = 72468101220406080100120140160x = 7y = 12x + 7y = 91
The lines y = 12x + 7 and y = 91 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+7=9112x + 7 = 91
  2. 2

    Subtract 7 from both sides:

    12x+7−7=91−7 ⇒ 12x=8412x + 7 - 7 = 91 - 7 \ \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+7=84+7=91✓12\cdot7 + 7 = 84 + 7 = 91 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 7 = 91\ \Rightarrow\ x = 7 \]
\[ 12x + 7 = 91 \]
\[ 12x + 7 - 7 = 91 - 7 \ \Rightarrow\ 12x = 84 \]
\[ \frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7 \]
\[ 12\cdot7 + 7 = 84 + 7 = 91 \checkmark \]

Trying values of x in 12x + 7 = 91

x12x + 7Equals 91?
567no
679no
791yes
8103no
9115no

Questions

What is x in 12x + 7 = 91?

The solution of 12x + 7 = 91 is x = 7.

How do you solve 12x + 7 = 91?

Subtract 7 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) + 7 = 91, which is 91.

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    Solve 12x + 7 = 91: x = 7 (steps and check) | WordGPT