WordGPT

Solve 8x + 6 = 78

The solution of 8x + 6 = 78 is x = 9.

Explain it step by step in chatMake a short video of it
The lines y = 8x + 6 and y = 78 meet at x = 9468101214406080100120x = 9y = 8x + 6y = 78
The lines y = 8x + 6 and y = 78 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+6=788x + 6 = 78
  2. 2

    Subtract 6 from both sides:

    8x+6−6=78−6 ⇒ 8x=728x + 6 - 6 = 78 - 6 \ \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+6=72+6=78✓8\cdot9 + 6 = 72 + 6 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 6 = 78\ \Rightarrow\ x = 9 \]
\[ 8x + 6 = 78 \]
\[ 8x + 6 - 6 = 78 - 6 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 6 = 72 + 6 = 78 \checkmark \]

Trying values of x in 8x + 6 = 78

x8x + 6Equals 78?
762no
870no
978yes
1086no
1194no

Questions

What is x in 8x + 6 = 78?

The solution of 8x + 6 = 78 is x = 9.

How do you solve 8x + 6 = 78?

Subtract 6 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) + 6 = 78, which is 78.

Similar equations

    Solve 8x + 6 = 78: x = 9 (steps and check) | WordGPT