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Solve 2x + 9 = 45

The solution of 2x + 9 = 45 is x = 18.

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The lines y = 2x + 9 and y = 45 meet at x = 18121416182022243540455055x = 18y = 2x + 9y = 45
The lines y = 2x + 9 and y = 45 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.

    2x+9=452x + 9 = 45
  2. 2

    Subtract 9 from both sides:

    2x+9−9=45−9 ⇒ 2x=362x + 9 - 9 = 45 - 9 \ \Rightarrow\ 2x = 36
  3. 3

    Divide both sides by 2:

    2x2=362 ⇒ x=18\frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    2⋅18+9=36+9=45✓2\cdot18 + 9 = 36 + 9 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 9 = 45\ \Rightarrow\ x = 18 \]
\[ 2x + 9 = 45 \]
\[ 2x + 9 - 9 = 45 - 9 \ \Rightarrow\ 2x = 36 \]
\[ \frac{2x}{2} = \frac{36}{2} \ \Rightarrow\ x = 18 \]
\[ 2\cdot18 + 9 = 36 + 9 = 45 \checkmark \]

Trying values of x in 2x + 9 = 45

x2x + 9Equals 45?
1641no
1743no
1845yes
1947no
2049no

Questions

What is x in 2x + 9 = 45?

The solution of 2x + 9 = 45 is x = 18.

How do you solve 2x + 9 = 45?

Subtract 9 from both sides to get 2x = 36, then divide both sides by 2 to get x = 18.

How do I check the answer?

Replace x by 18: 2(18) + 9 = 45, which is 45.

Similar equations

    Solve 2x + 9 = 45: x = 18 (steps and check) | WordGPT