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Solve 2x + 13 = 5

The solution of 2x + 13 = 5 is x = -4.

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The lines y = 2x + 13 and y = 5 meet at x = -4-10-8-6-4-22-551015x = -4y = 2x + 13y = 5
The lines y = 2x + 13 and y = 5 meet at x = -4. 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=52x + 13 = 5
  2. 2

    Subtract 13 from both sides:

    2x+13−13=5−13 ⇒ 2x=−82x + 13 - 13 = 5 - 13 \ \Rightarrow\ 2x = -8
  3. 3

    Divide both sides by 2:

    2x2=−82 ⇒ x=−4\frac{2x}{2} = \frac{-8}{2} \ \Rightarrow\ x = -4
  4. 4

    Check: put x = -4 back into the equation.

    2⋅(−4)+13=−8+13=5✓2\cdot(-4) + 13 = -8 + 13 = 5 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 5\ \Rightarrow\ x = -4 \]
\[ 2x + 13 = 5 \]
\[ 2x + 13 - 13 = 5 - 13 \ \Rightarrow\ 2x = -8 \]
\[ \frac{2x}{2} = \frac{-8}{2} \ \Rightarrow\ x = -4 \]
\[ 2\cdot(-4) + 13 = -8 + 13 = 5 \checkmark \]

Trying values of x in 2x + 13 = 5

x2x + 13Equals 5?
-61no
-53no
-45yes
-37no
-29no

Questions

What is x in 2x + 13 = 5?

The solution of 2x + 13 = 5 is x = -4.

How do you solve 2x + 13 = 5?

Subtract 13 from both sides to get 2x = -8, then divide both sides by 2 to get x = -4.

How do I check the answer?

Replace x by -4: 2(-4) + 13 = 5, which is 5.

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    Solve 2x + 13 = 5: x = -4 (steps and check) | WordGPT