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Solve 8x + 11 = 171

The solution of 8x + 11 = 171 is x = 20.

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The lines y = 8x + 11 and y = 171 meet at x = 2014161820222426120140160180200220x = 20y = 8x + 11y = 171
The lines y = 8x + 11 and y = 171 meet at x = 20. 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=1718x + 11 = 171
  2. 2

    Subtract 11 from both sides:

    8x+11−11=171−11 ⇒ 8x=1608x + 11 - 11 = 171 - 11 \ \Rightarrow\ 8x = 160
  3. 3

    Divide both sides by 8:

    8x8=1608 ⇒ x=20\frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    8⋅20+11=160+11=171✓8\cdot20 + 11 = 160 + 11 = 171 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 11 = 171\ \Rightarrow\ x = 20 \]
\[ 8x + 11 = 171 \]
\[ 8x + 11 - 11 = 171 - 11 \ \Rightarrow\ 8x = 160 \]
\[ \frac{8x}{8} = \frac{160}{8} \ \Rightarrow\ x = 20 \]
\[ 8\cdot20 + 11 = 160 + 11 = 171 \checkmark \]

Trying values of x in 8x + 11 = 171

x8x + 11Equals 171?
18155no
19163no
20171yes
21179no
22187no

Questions

What is x in 8x + 11 = 171?

The solution of 8x + 11 = 171 is x = 20.

How do you solve 8x + 11 = 171?

Subtract 11 from both sides to get 8x = 160, then divide both sides by 8 to get x = 20.

How do I check the answer?

Replace x by 20: 8(20) + 11 = 171, which is 171.

Similar equations

    Solve 8x + 11 = 171: x = 20 (steps and check) | WordGPT