WordGPT

Solve 6x + 1 = 67

The solution of 6x + 1 = 67 is x = 11.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 1 and y = 67 meet at x = 11681012141630405060708090100110x = 11y = 6x + 1y = 67
The lines y = 6x + 1 and y = 67 meet at x = 11. 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=676x + 1 = 67
  2. 2

    Subtract 1 from both sides:

    6x+1−1=67−1 ⇒ 6x=666x + 1 - 1 = 67 - 1 \ \Rightarrow\ 6x = 66
  3. 3

    Divide both sides by 6:

    6x6=666 ⇒ x=11\frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    6⋅11+1=66+1=67✓6\cdot11 + 1 = 66 + 1 = 67 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 1 = 67\ \Rightarrow\ x = 11 \]
\[ 6x + 1 = 67 \]
\[ 6x + 1 - 1 = 67 - 1 \ \Rightarrow\ 6x = 66 \]
\[ \frac{6x}{6} = \frac{66}{6} \ \Rightarrow\ x = 11 \]
\[ 6\cdot11 + 1 = 66 + 1 = 67 \checkmark \]

Trying values of x in 6x + 1 = 67

x6x + 1Equals 67?
955no
1061no
1167yes
1273no
1379no

Questions

What is x in 6x + 1 = 67?

The solution of 6x + 1 = 67 is x = 11.

How do you solve 6x + 1 = 67?

Subtract 1 from both sides to get 6x = 66, then divide both sides by 6 to get x = 11.

How do I check the answer?

Replace x by 11: 6(11) + 1 = 67, which is 67.

Similar equations

    Solve 6x + 1 = 67: x = 11 (steps and check) | WordGPT