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Solve 6x + 1 = 37

The solution of 6x + 1 = 37 is x = 6.

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The lines y = 6x + 1 and y = 37 meet at x = 6246810121020304050607080x = 6y = 6x + 1y = 37
The lines y = 6x + 1 and y = 37 meet at x = 6. 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.

    6x+1=376x + 1 = 37
  2. 2

    Subtract 1 from both sides:

    6x+1−1=37−1 ⇒ 6x=366x + 1 - 1 = 37 - 1 \ \Rightarrow\ 6x = 36
  3. 3

    Divide both sides by 6:

    6x6=366 ⇒ x=6\frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    6⋅6+1=36+1=37✓6\cdot6 + 1 = 36 + 1 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 1 = 37\ \Rightarrow\ x = 6 \]
\[ 6x + 1 = 37 \]
\[ 6x + 1 - 1 = 37 - 1 \ \Rightarrow\ 6x = 36 \]
\[ \frac{6x}{6} = \frac{36}{6} \ \Rightarrow\ x = 6 \]
\[ 6\cdot6 + 1 = 36 + 1 = 37 \checkmark \]

Trying values of x in 6x + 1 = 37

x6x + 1Equals 37?
425no
531no
637yes
743no
849no

Questions

What is x in 6x + 1 = 37?

The solution of 6x + 1 = 37 is x = 6.

How do you solve 6x + 1 = 37?

Subtract 1 from both sides to get 6x = 36, then divide both sides by 6 to get x = 6.

How do I check the answer?

Replace x by 6: 6(6) + 1 = 37, which is 37.

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    Solve 6x + 1 = 37: x = 6 (steps and check) | WordGPT