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Solve 8x + 11 = 83

The solution of 8x + 11 = 83 is x = 9.

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The lines y = 8x + 11 and y = 83 meet at x = 9468101214406080100120140x = 9y = 8x + 11y = 83
The lines y = 8x + 11 and y = 83 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+11=838x + 11 = 83
  2. 2

    Subtract 11 from both sides:

    8x+11−11=83−11 ⇒ 8x=728x + 11 - 11 = 83 - 11 \ \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+11=72+11=83✓8\cdot9 + 11 = 72 + 11 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 11 = 83\ \Rightarrow\ x = 9 \]
\[ 8x + 11 = 83 \]
\[ 8x + 11 - 11 = 83 - 11 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 11 = 72 + 11 = 83 \checkmark \]

Trying values of x in 8x + 11 = 83

x8x + 11Equals 83?
767no
875no
983yes
1091no
1199no

Questions

What is x in 8x + 11 = 83?

The solution of 8x + 11 = 83 is x = 9.

How do you solve 8x + 11 = 83?

Subtract 11 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) + 11 = 83, which is 83.

Similar equations

    Solve 8x + 11 = 83: x = 9 (steps and check) | WordGPT