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Solve 8x + 9 = 161

The solution of 8x + 9 = 161 is x = 19.

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The lines y = 8x + 9 and y = 161 meet at x = 19141618202224120140160180200x = 19y = 8x + 9y = 161
The lines y = 8x + 9 and y = 161 meet at x = 19. 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+9=1618x + 9 = 161
  2. 2

    Subtract 9 from both sides:

    8x+9−9=161−9 ⇒ 8x=1528x + 9 - 9 = 161 - 9 \ \Rightarrow\ 8x = 152
  3. 3

    Divide both sides by 8:

    8x8=1528 ⇒ x=19\frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    8⋅19+9=152+9=161✓8\cdot19 + 9 = 152 + 9 = 161 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 9 = 161\ \Rightarrow\ x = 19 \]
\[ 8x + 9 = 161 \]
\[ 8x + 9 - 9 = 161 - 9 \ \Rightarrow\ 8x = 152 \]
\[ \frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19 \]
\[ 8\cdot19 + 9 = 152 + 9 = 161 \checkmark \]

Trying values of x in 8x + 9 = 161

x8x + 9Equals 161?
17145no
18153no
19161yes
20169no
21177no

Questions

What is x in 8x + 9 = 161?

The solution of 8x + 9 = 161 is x = 19.

How do you solve 8x + 9 = 161?

Subtract 9 from both sides to get 8x = 152, then divide both sides by 8 to get x = 19.

How do I check the answer?

Replace x by 19: 8(19) + 9 = 161, which is 161.

Similar equations

    Solve 8x + 9 = 161: x = 19 (steps and check) | WordGPT