WordGPT

Solve 5x + 6 = 71

The solution of 5x + 6 = 71 is x = 13.

Explain it step by step in chatMake a short video of it
The lines y = 5x + 6 and y = 71 meet at x = 1381012141618405060708090100x = 13y = 5x + 6y = 71
The lines y = 5x + 6 and y = 71 meet at x = 13. 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.

    5x+6=715x + 6 = 71
  2. 2

    Subtract 6 from both sides:

    5x+6−6=71−6 ⇒ 5x=655x + 6 - 6 = 71 - 6 \ \Rightarrow\ 5x = 65
  3. 3

    Divide both sides by 5:

    5x5=655 ⇒ x=13\frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    5⋅13+6=65+6=71✓5\cdot13 + 6 = 65 + 6 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 6 = 71\ \Rightarrow\ x = 13 \]
\[ 5x + 6 = 71 \]
\[ 5x + 6 - 6 = 71 - 6 \ \Rightarrow\ 5x = 65 \]
\[ \frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13 \]
\[ 5\cdot13 + 6 = 65 + 6 = 71 \checkmark \]

Trying values of x in 5x + 6 = 71

x5x + 6Equals 71?
1161no
1266no
1371yes
1476no
1581no

Questions

What is x in 5x + 6 = 71?

The solution of 5x + 6 = 71 is x = 13.

How do you solve 5x + 6 = 71?

Subtract 6 from both sides to get 5x = 65, then divide both sides by 5 to get x = 13.

How do I check the answer?

Replace x by 13: 5(13) + 6 = 71, which is 71.

Similar equations

    Solve 5x + 6 = 71: x = 13 (steps and check) | WordGPT