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Solve 2x + 9 = 19

The solution of 2x + 9 = 19 is x = 5.

The lines y = 2x + 9 and y = 19 meet at x = 524681051015202530x = 5y = 2x + 9y = 19
The lines y = 2x + 9 and y = 19 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.

    2x+9=192x + 9 = 19
  2. 2

    Subtract 9 from both sides:

    2x+9−9=19−9 ⇒ 2x=102x + 9 - 9 = 19 - 9 \ \Rightarrow\ 2x = 10
  3. 3

    Divide both sides by 2:

    2x2=102 ⇒ x=5\frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    2⋅5+9=10+9=19✓2\cdot5 + 9 = 10 + 9 = 19 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 9 = 19\ \Rightarrow\ x = 5 \]
\[ 2x + 9 = 19 \]
\[ 2x + 9 - 9 = 19 - 9 \ \Rightarrow\ 2x = 10 \]
\[ \frac{2x}{2} = \frac{10}{2} \ \Rightarrow\ x = 5 \]
\[ 2\cdot5 + 9 = 10 + 9 = 19 \checkmark \]

Trying values of x in 2x + 9 = 19

x2x + 9Equals 19?
315no
417no
519yes
621no
723no

Questions

What is x in 2x + 9 = 19?

The solution of 2x + 9 = 19 is x = 5.

How do you solve 2x + 9 = 19?

Subtract 9 from both sides to get 2x = 10, then divide both sides by 2 to get x = 5.

How do I check the answer?

Replace x by 5: 2(5) + 9 = 19, which is 19.

Similar equations

    Solve 2x + 9 = 19: x = 5 (steps and check) | WordGPT