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Solve 2x + 13 = 3

The solution of 2x + 13 = 3 is x = -5.

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The lines y = 2x + 13 and y = 3 meet at x = -5-10-8-6-4-2-10-551015x = -5y = 2x + 13y = 3
The lines y = 2x + 13 and y = 3 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+13=32x + 13 = 3
  2. 2

    Subtract 13 from both sides:

    2x+13−13=3−13 ⇒ 2x=−102x + 13 - 13 = 3 - 13 \ \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)+13=−10+13=3✓2\cdot(-5) + 13 = -10 + 13 = 3 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 13 = 3\ \Rightarrow\ x = -5 \]
\[ 2x + 13 = 3 \]
\[ 2x + 13 - 13 = 3 - 13 \ \Rightarrow\ 2x = -10 \]
\[ \frac{2x}{2} = \frac{-10}{2} \ \Rightarrow\ x = -5 \]
\[ 2\cdot(-5) + 13 = -10 + 13 = 3 \checkmark \]

Trying values of x in 2x + 13 = 3

x2x + 13Equals 3?
-7-1no
-61no
-53yes
-45no
-37no

Questions

What is x in 2x + 13 = 3?

The solution of 2x + 13 = 3 is x = -5.

How do you solve 2x + 13 = 3?

Subtract 13 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) + 13 = 3, which is 3.

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    Solve 2x + 13 = 3: x = -5 (steps and check) | WordGPT