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Solve 3x + 9 = 24

The solution of 3x + 9 = 24 is x = 5.

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The lines y = 3x + 9 and y = 24 meet at x = 524681051015202530354045x = 5y = 3x + 9y = 24
The lines y = 3x + 9 and y = 24 meet at x = 5. 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.

    3x+9=243x + 9 = 24
  2. 2

    Subtract 9 from both sides:

    3x+9−9=24−9 ⇒ 3x=153x + 9 - 9 = 24 - 9 \ \Rightarrow\ 3x = 15
  3. 3

    Divide both sides by 3:

    3x3=153 ⇒ x=5\frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    3⋅5+9=15+9=24✓3\cdot5 + 9 = 15 + 9 = 24 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 9 = 24\ \Rightarrow\ x = 5 \]
\[ 3x + 9 = 24 \]
\[ 3x + 9 - 9 = 24 - 9 \ \Rightarrow\ 3x = 15 \]
\[ \frac{3x}{3} = \frac{15}{3} \ \Rightarrow\ x = 5 \]
\[ 3\cdot5 + 9 = 15 + 9 = 24 \checkmark \]

Trying values of x in 3x + 9 = 24

x3x + 9Equals 24?
318no
421no
524yes
627no
730no

Questions

What is x in 3x + 9 = 24?

The solution of 3x + 9 = 24 is x = 5.

How do you solve 3x + 9 = 24?

Subtract 9 from both sides to get 3x = 15, then divide both sides by 3 to get x = 5.

How do I check the answer?

Replace x by 5: 3(5) + 9 = 24, which is 24.

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    Solve 3x + 9 = 24: x = 5 (steps and check) | WordGPT