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Solve 5x + 13 = 3

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

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The lines y = 5x + 13 and y = 3 meet at x = -2-8-6-4-224-30-20-10102030x = -2y = 5x + 13y = 3
The lines y = 5x + 13 and y = 3 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.

    5x+13=35x + 13 = 3
  2. 2

    Subtract 13 from both sides:

    5x+13−13=3−13 ⇒ 5x=−105x + 13 - 13 = 3 - 13 \ \Rightarrow\ 5x = -10
  3. 3

    Divide both sides by 5:

    5x5=−105 ⇒ x=−2\frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

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

Trying values of x in 5x + 13 = 3

x5x + 13Equals 3?
-4-7no
-3-2no
-23yes
-18no
013no

Questions

What is x in 5x + 13 = 3?

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

How do you solve 5x + 13 = 3?

Subtract 13 from both sides to get 5x = -10, then divide both sides by 5 to get x = -2.

How do I check the answer?

Replace x by -2: 5(-2) + 13 = 3, which is 3.

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