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Solve 2x + 9 = 49

The solution of 2x + 9 = 49 is x = 20.

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The lines y = 2x + 9 and y = 49 meet at x = 2014161820222426354045505560x = 20y = 2x + 9y = 49
The lines y = 2x + 9 and y = 49 meet at x = 20. 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=492x + 9 = 49
  2. 2

    Subtract 9 from both sides:

    2x+9−9=49−9 ⇒ 2x=402x + 9 - 9 = 49 - 9 \ \Rightarrow\ 2x = 40
  3. 3

    Divide both sides by 2:

    2x2=402 ⇒ x=20\frac{2x}{2} = \frac{40}{2} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    2⋅20+9=40+9=49✓2\cdot20 + 9 = 40 + 9 = 49 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 9 = 49\ \Rightarrow\ x = 20 \]
\[ 2x + 9 = 49 \]
\[ 2x + 9 - 9 = 49 - 9 \ \Rightarrow\ 2x = 40 \]
\[ \frac{2x}{2} = \frac{40}{2} \ \Rightarrow\ x = 20 \]
\[ 2\cdot20 + 9 = 40 + 9 = 49 \checkmark \]

Trying values of x in 2x + 9 = 49

x2x + 9Equals 49?
1845no
1947no
2049yes
2151no
2253no

Questions

What is x in 2x + 9 = 49?

The solution of 2x + 9 = 49 is x = 20.

How do you solve 2x + 9 = 49?

Subtract 9 from both sides to get 2x = 40, then divide both sides by 2 to get x = 20.

How do I check the answer?

Replace x by 20: 2(20) + 9 = 49, which is 49.

Similar equations

    Solve 2x + 9 = 49: x = 20 (steps and check) | WordGPT