WordGPT

Solve 11x + 14 = 80

The solution of 11x + 14 = 80 is x = 6.

Explain it step by step in chatMake a short video of it
The lines y = 11x + 14 and y = 80 meet at x = 62468101220406080100120140x = 6y = 11x + 14y = 80
The lines y = 11x + 14 and y = 80 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.

    11x+14=8011x + 14 = 80
  2. 2

    Subtract 14 from both sides:

    11x+14−14=80−14 ⇒ 11x=6611x + 14 - 14 = 80 - 14 \ \Rightarrow\ 11x = 66
  3. 3

    Divide both sides by 11:

    11x11=6611 ⇒ x=6\frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    11⋅6+14=66+14=80✓11\cdot6 + 14 = 66 + 14 = 80 \checkmark
LaTeX source of the formulas on this page
\[ 11x + 14 = 80\ \Rightarrow\ x = 6 \]
\[ 11x + 14 = 80 \]
\[ 11x + 14 - 14 = 80 - 14 \ \Rightarrow\ 11x = 66 \]
\[ \frac{11x}{11} = \frac{66}{11} \ \Rightarrow\ x = 6 \]
\[ 11\cdot6 + 14 = 66 + 14 = 80 \checkmark \]

Trying values of x in 11x + 14 = 80

x11x + 14Equals 80?
458no
569no
680yes
791no
8102no

Questions

What is x in 11x + 14 = 80?

The solution of 11x + 14 = 80 is x = 6.

How do you solve 11x + 14 = 80?

Subtract 14 from both sides to get 11x = 66, then divide both sides by 11 to get x = 6.

How do I check the answer?

Replace x by 6: 11(6) + 14 = 80, which is 80.

Similar equations

    Solve 11x + 14 = 80: x = 6 (steps and check) | WordGPT