WordGPT

Solve 5x + 13 = 78

The solution of 5x + 13 = 78 is x = 13.

Explain it step by step in chatMake a short video of it
The lines y = 5x + 13 and y = 78 meet at x = 13810121416185060708090100110x = 13y = 5x + 13y = 78
The lines y = 5x + 13 and y = 78 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+13=785x + 13 = 78
  2. 2

    Subtract 13 from both sides:

    5x+13−13=78−13 ⇒ 5x=655x + 13 - 13 = 78 - 13 \ \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+13=65+13=78✓5\cdot13 + 13 = 65 + 13 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 78\ \Rightarrow\ x = 13 \]
\[ 5x + 13 = 78 \]
\[ 5x + 13 - 13 = 78 - 13 \ \Rightarrow\ 5x = 65 \]
\[ \frac{5x}{5} = \frac{65}{5} \ \Rightarrow\ x = 13 \]
\[ 5\cdot13 + 13 = 65 + 13 = 78 \checkmark \]

Trying values of x in 5x + 13 = 78

x5x + 13Equals 78?
1168no
1273no
1378yes
1483no
1588no

Questions

What is x in 5x + 13 = 78?

The solution of 5x + 13 = 78 is x = 13.

How do you solve 5x + 13 = 78?

Subtract 13 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) + 13 = 78, which is 78.

Similar equations

    Solve 5x + 13 = 78: x = 13 (steps and check) | WordGPT