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Solve 2x + 13 = 17

The solution of 2x + 13 = 17 is x = 2.

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The lines y = 2x + 13 and y = 17 meet at x = 2-4-2246851015202530x = 2y = 2x + 13y = 17
The lines y = 2x + 13 and y = 17 meet at x = 2. 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=172x + 13 = 17
  2. 2

    Subtract 13 from both sides:

    2x+13−13=17−13 ⇒ 2x=42x + 13 - 13 = 17 - 13 \ \Rightarrow\ 2x = 4
  3. 3

    Divide both sides by 2:

    2x2=42 ⇒ x=2\frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    2⋅2+13=4+13=17✓2\cdot2 + 13 = 4 + 13 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 17\ \Rightarrow\ x = 2 \]
\[ 2x + 13 = 17 \]
\[ 2x + 13 - 13 = 17 - 13 \ \Rightarrow\ 2x = 4 \]
\[ \frac{2x}{2} = \frac{4}{2} \ \Rightarrow\ x = 2 \]
\[ 2\cdot2 + 13 = 4 + 13 = 17 \checkmark \]

Trying values of x in 2x + 13 = 17

x2x + 13Equals 17?
013no
115no
217yes
319no
421no

Questions

What is x in 2x + 13 = 17?

The solution of 2x + 13 = 17 is x = 2.

How do you solve 2x + 13 = 17?

Subtract 13 from both sides to get 2x = 4, then divide both sides by 2 to get x = 2.

How do I check the answer?

Replace x by 2: 2(2) + 13 = 17, which is 17.

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    Solve 2x + 13 = 17: x = 2 (steps and check) | WordGPT