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Solve 3x + 1 = 61

The solution of 3x + 1 = 61 is x = 20.

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The lines y = 3x + 1 and y = 61 meet at x = 2014161820222426404550556065707580x = 20y = 3x + 1y = 61
The lines y = 3x + 1 and y = 61 meet at x = 20. 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.

    3x+1=613x + 1 = 61
  2. 2

    Subtract 1 from both sides:

    3x+1−1=61−1 ⇒ 3x=603x + 1 - 1 = 61 - 1 \ \Rightarrow\ 3x = 60
  3. 3

    Divide both sides by 3:

    3x3=603 ⇒ x=20\frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    3⋅20+1=60+1=61✓3\cdot20 + 1 = 60 + 1 = 61 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 1 = 61\ \Rightarrow\ x = 20 \]
\[ 3x + 1 = 61 \]
\[ 3x + 1 - 1 = 61 - 1 \ \Rightarrow\ 3x = 60 \]
\[ \frac{3x}{3} = \frac{60}{3} \ \Rightarrow\ x = 20 \]
\[ 3\cdot20 + 1 = 60 + 1 = 61 \checkmark \]

Trying values of x in 3x + 1 = 61

x3x + 1Equals 61?
1855no
1958no
2061yes
2164no
2267no

Questions

What is x in 3x + 1 = 61?

The solution of 3x + 1 = 61 is x = 20.

How do you solve 3x + 1 = 61?

Subtract 1 from both sides to get 3x = 60, then divide both sides by 3 to get x = 20.

How do I check the answer?

Replace x by 20: 3(20) + 1 = 61, which is 61.

Similar equations

    Solve 3x + 1 = 61: x = 20 (steps and check) | WordGPT