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Solve 3x + 9 = 45

The solution of 3x + 9 = 45 is x = 12.

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The lines y = 3x + 9 and y = 45 meet at x = 12681012141618253035404550556065x = 12y = 3x + 9y = 45
The lines y = 3x + 9 and y = 45 meet at x = 12. 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=453x + 9 = 45
  2. 2

    Subtract 9 from both sides:

    3x+9−9=45−9 ⇒ 3x=363x + 9 - 9 = 45 - 9 \ \Rightarrow\ 3x = 36
  3. 3

    Divide both sides by 3:

    3x3=363 ⇒ x=12\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    3⋅12+9=36+9=45✓3\cdot12 + 9 = 36 + 9 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 9 = 45\ \Rightarrow\ x = 12 \]
\[ 3x + 9 = 45 \]
\[ 3x + 9 - 9 = 45 - 9 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 + 9 = 36 + 9 = 45 \checkmark \]

Trying values of x in 3x + 9 = 45

x3x + 9Equals 45?
1039no
1142no
1245yes
1348no
1451no

Questions

What is x in 3x + 9 = 45?

The solution of 3x + 9 = 45 is x = 12.

How do you solve 3x + 9 = 45?

Subtract 9 from both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) + 9 = 45, which is 45.

Similar equations

    Solve 3x + 9 = 45: x = 12 (steps and check) | WordGPT