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Solve 2x + 13 = 19

The solution of 2x + 13 = 19 is x = 3.

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The lines y = 2x + 13 and y = 19 meet at x = 3-2246851015202530x = 3y = 2x + 13y = 19
The lines y = 2x + 13 and y = 19 meet at x = 3. 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+13=192x + 13 = 19
  2. 2

    Subtract 13 from both sides:

    2x+13−13=19−13 ⇒ 2x=62x + 13 - 13 = 19 - 13 \ \Rightarrow\ 2x = 6
  3. 3

    Divide both sides by 2:

    2x2=62 ⇒ x=3\frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    2⋅3+13=6+13=19✓2\cdot3 + 13 = 6 + 13 = 19 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 19\ \Rightarrow\ x = 3 \]
\[ 2x + 13 = 19 \]
\[ 2x + 13 - 13 = 19 - 13 \ \Rightarrow\ 2x = 6 \]
\[ \frac{2x}{2} = \frac{6}{2} \ \Rightarrow\ x = 3 \]
\[ 2\cdot3 + 13 = 6 + 13 = 19 \checkmark \]

Trying values of x in 2x + 13 = 19

x2x + 13Equals 19?
115no
217no
319yes
421no
523no

Questions

What is x in 2x + 13 = 19?

The solution of 2x + 13 = 19 is x = 3.

How do you solve 2x + 13 = 19?

Subtract 13 from both sides to get 2x = 6, then divide both sides by 2 to get x = 3.

How do I check the answer?

Replace x by 3: 2(3) + 13 = 19, which is 19.

Similar equations

    Solve 2x + 13 = 19: x = 3 (steps and check) | WordGPT