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Solve 8x + 9 = 153

The solution of 8x + 9 = 153 is x = 18.

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The lines y = 8x + 9 and y = 153 meet at x = 1812141618202224100120140160180200x = 18y = 8x + 9y = 153
The lines y = 8x + 9 and y = 153 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+9=1538x + 9 = 153
  2. 2

    Subtract 9 from both sides:

    8x+9−9=153−9 ⇒ 8x=1448x + 9 - 9 = 153 - 9 \ \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+9=144+9=153✓8\cdot18 + 9 = 144 + 9 = 153 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 9 = 153\ \Rightarrow\ x = 18 \]
\[ 8x + 9 = 153 \]
\[ 8x + 9 - 9 = 153 - 9 \ \Rightarrow\ 8x = 144 \]
\[ \frac{8x}{8} = \frac{144}{8} \ \Rightarrow\ x = 18 \]
\[ 8\cdot18 + 9 = 144 + 9 = 153 \checkmark \]

Trying values of x in 8x + 9 = 153

x8x + 9Equals 153?
16137no
17145no
18153yes
19161no
20169no

Questions

What is x in 8x + 9 = 153?

The solution of 8x + 9 = 153 is x = 18.

How do you solve 8x + 9 = 153?

Subtract 9 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) + 9 = 153, which is 153.

Similar equations

    Solve 8x + 9 = 153: x = 18 (steps and check) | WordGPT