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Solve 12x + 1 = 85

The solution of 12x + 1 = 85 is x = 7.

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The lines y = 12x + 1 and y = 85 meet at x = 72468101220406080100120140160x = 7y = 12x + 1y = 85
The lines y = 12x + 1 and y = 85 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+1=8512x + 1 = 85
  2. 2

    Subtract 1 from both sides:

    12x+1−1=85−1 ⇒ 12x=8412x + 1 - 1 = 85 - 1 \ \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+1=84+1=85✓12\cdot7 + 1 = 84 + 1 = 85 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 1 = 85\ \Rightarrow\ x = 7 \]
\[ 12x + 1 = 85 \]
\[ 12x + 1 - 1 = 85 - 1 \ \Rightarrow\ 12x = 84 \]
\[ \frac{12x}{12} = \frac{84}{12} \ \Rightarrow\ x = 7 \]
\[ 12\cdot7 + 1 = 84 + 1 = 85 \checkmark \]

Trying values of x in 12x + 1 = 85

x12x + 1Equals 85?
561no
673no
785yes
897no
9109no

Questions

What is x in 12x + 1 = 85?

The solution of 12x + 1 = 85 is x = 7.

How do you solve 12x + 1 = 85?

Subtract 1 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) + 1 = 85, which is 85.

Similar equations

    Solve 12x + 1 = 85: x = 7 (steps and check) | WordGPT