WordGPT

Solve 7x + 11 = 67

The solution of 7x + 11 = 67 is x = 8.

Explain it step by step in chatMake a short video of it
The lines y = 7x + 11 and y = 67 meet at x = 8246810121420406080100x = 8y = 7x + 11y = 67
The lines y = 7x + 11 and y = 67 meet at x = 8. 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.

    7x+11=677x + 11 = 67
  2. 2

    Subtract 11 from both sides:

    7x+11−11=67−11 ⇒ 7x=567x + 11 - 11 = 67 - 11 \ \Rightarrow\ 7x = 56
  3. 3

    Divide both sides by 7:

    7x7=567 ⇒ x=8\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    7⋅8+11=56+11=67✓7\cdot8 + 11 = 56 + 11 = 67 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 11 = 67\ \Rightarrow\ x = 8 \]
\[ 7x + 11 = 67 \]
\[ 7x + 11 - 11 = 67 - 11 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 11 = 56 + 11 = 67 \checkmark \]

Trying values of x in 7x + 11 = 67

x7x + 11Equals 67?
653no
760no
867yes
974no
1081no

Questions

What is x in 7x + 11 = 67?

The solution of 7x + 11 = 67 is x = 8.

How do you solve 7x + 11 = 67?

Subtract 11 from both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) + 11 = 67, which is 67.

Similar equations

    Solve 7x + 11 = 67: x = 8 (steps and check) | WordGPT