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Solve 8x + 11 = 155

The solution of 8x + 11 = 155 is x = 18.

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The lines y = 8x + 11 and y = 155 meet at x = 1812141618202224100120140160180200x = 18y = 8x + 11y = 155
The lines y = 8x + 11 and y = 155 meet at x = 18. 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=1558x + 11 = 155
  2. 2

    Subtract 11 from both sides:

    8x+11−11=155−11 ⇒ 8x=1448x + 11 - 11 = 155 - 11 \ \Rightarrow\ 8x = 144
  3. 3

    Divide both sides by 8:

    8x8=1448 ⇒ x=18\frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    8⋅18+11=144+11=155✓8\cdot18 + 11 = 144 + 11 = 155 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 11 = 155\ \Rightarrow\ x = 18 \]
\[ 8x + 11 = 155 \]
\[ 8x + 11 - 11 = 155 - 11 \ \Rightarrow\ 8x = 144 \]
\[ \frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18 \]
\[ 8\cdot18 + 11 = 144 + 11 = 155 \checkmark \]

Trying values of x in 8x + 11 = 155

x8x + 11Equals 155?
16139no
17147no
18155yes
19163no
20171no

Questions

What is x in 8x + 11 = 155?

The solution of 8x + 11 = 155 is x = 18.

How do you solve 8x + 11 = 155?

Subtract 11 from both sides to get 8x = 144, then divide both sides by 8 to get x = 18.

How do I check the answer?

Replace x by 18: 8(18) + 11 = 155, which is 155.

Similar equations

    Solve 8x + 11 = 155: x = 18 (steps and check) | WordGPT