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Solve 12x + 1 = 61

The solution of 12x + 1 = 61 is x = 5.

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The lines y = 12x + 1 and y = 61 meet at x = 5246810-2020406080100120140x = 5y = 12x + 1y = 61
The lines y = 12x + 1 and y = 61 meet at x = 5. 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=6112x + 1 = 61
  2. 2

    Subtract 1 from both sides:

    12x+1−1=61−1 ⇒ 12x=6012x + 1 - 1 = 61 - 1 \ \Rightarrow\ 12x = 60
  3. 3

    Divide both sides by 12:

    12x12=6012 ⇒ x=5\frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    12⋅5+1=60+1=61✓12\cdot5 + 1 = 60 + 1 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 1 = 61\ \Rightarrow\ x = 5 \]
\[ 12x + 1 = 61 \]
\[ 12x + 1 - 1 = 61 - 1 \ \Rightarrow\ 12x = 60 \]
\[ \frac{12x}{12} = \frac{60}{12} \ \Rightarrow\ x = 5 \]
\[ 12\cdot5 + 1 = 60 + 1 = 61 \checkmark \]

Trying values of x in 12x + 1 = 61

x12x + 1Equals 61?
337no
449no
561yes
673no
785no

Questions

What is x in 12x + 1 = 61?

The solution of 12x + 1 = 61 is x = 5.

How do you solve 12x + 1 = 61?

Subtract 1 from both sides to get 12x = 60, then divide both sides by 12 to get x = 5.

How do I check the answer?

Replace x by 5: 12(5) + 1 = 61, which is 61.

Similar equations

    Solve 12x + 1 = 61: x = 5 (steps and check) | WordGPT