WordGPT

Solve 8x + 13 = 85

The solution of 8x + 13 = 85 is x = 9.

Explain it step by step in chatMake a short video of it
The lines y = 8x + 13 and y = 85 meet at x = 9468101214406080100120140x = 9y = 8x + 13y = 85
The lines y = 8x + 13 and y = 85 meet at x = 9. 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.

    8x+13=858x + 13 = 85
  2. 2

    Subtract 13 from both sides:

    8x+13−13=85−13 ⇒ 8x=728x + 13 - 13 = 85 - 13 \ \Rightarrow\ 8x = 72
  3. 3

    Divide both sides by 8:

    8x8=728 ⇒ x=9\frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    8⋅9+13=72+13=85✓8\cdot9 + 13 = 72 + 13 = 85 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 85\ \Rightarrow\ x = 9 \]
\[ 8x + 13 = 85 \]
\[ 8x + 13 - 13 = 85 - 13 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 13 = 72 + 13 = 85 \checkmark \]

Trying values of x in 8x + 13 = 85

x8x + 13Equals 85?
769no
877no
985yes
1093no
11101no

Questions

What is x in 8x + 13 = 85?

The solution of 8x + 13 = 85 is x = 9.

How do you solve 8x + 13 = 85?

Subtract 13 from both sides to get 8x = 72, then divide both sides by 8 to get x = 9.

How do I check the answer?

Replace x by 9: 8(9) + 13 = 85, which is 85.

Similar equations

    Solve 8x + 13 = 85: x = 9 (steps and check) | WordGPT