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Solve 8x + 5 = 77

The solution of 8x + 5 = 77 is x = 9.

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The lines y = 8x + 5 and y = 77 meet at x = 946810121420406080100120x = 9y = 8x + 5y = 77
The lines y = 8x + 5 and y = 77 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+5=778x + 5 = 77
  2. 2

    Subtract 5 from both sides:

    8x+5−5=77−5 ⇒ 8x=728x + 5 - 5 = 77 - 5 \ \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+5=72+5=77✓8\cdot9 + 5 = 72 + 5 = 77 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 5 = 77\ \Rightarrow\ x = 9 \]
\[ 8x + 5 = 77 \]
\[ 8x + 5 - 5 = 77 - 5 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 5 = 72 + 5 = 77 \checkmark \]

Trying values of x in 8x + 5 = 77

x8x + 5Equals 77?
761no
869no
977yes
1085no
1193no

Questions

What is x in 8x + 5 = 77?

The solution of 8x + 5 = 77 is x = 9.

How do you solve 8x + 5 = 77?

Subtract 5 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) + 5 = 77, which is 77.

Similar equations

    Solve 8x + 5 = 77: x = 9 (steps and check) | WordGPT