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Solve 5x + 13 = 13

The solution of 5x + 13 = 13 is x = 0.

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The lines y = 5x + 13 and y = 13 meet at x = 0-6-4-2246-20-1010203040x = 0y = 5x + 13y = 13
The lines y = 5x + 13 and y = 13 meet at x = 0. 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=135x + 13 = 13
  2. 2

    Subtract 13 from both sides:

    5x+13−13=13−13 ⇒ 5x=05x + 13 - 13 = 13 - 13 \ \Rightarrow\ 5x = 0
  3. 3

    Divide both sides by 5:

    5x5=05 ⇒ x=0\frac{5x}{5} = \frac{0}{5} \ \Rightarrow\ x = 0
  4. 4

    Check: put x = 0 back into the equation.

    5⋅0+13=0+13=13✓5\cdot0 + 13 = 0 + 13 = 13 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 13\ \Rightarrow\ x = 0 \]
\[ 5x + 13 = 13 \]
\[ 5x + 13 - 13 = 13 - 13 \ \Rightarrow\ 5x = 0 \]
\[ \frac{5x}{5} = \frac{0}{5} \ \Rightarrow\ x = 0 \]
\[ 5\cdot0 + 13 = 0 + 13 = 13 \checkmark \]

Trying values of x in 5x + 13 = 13

x5x + 13Equals 13?
-23no
-18no
013yes
118no
223no

Questions

What is x in 5x + 13 = 13?

The solution of 5x + 13 = 13 is x = 0.

How do you solve 5x + 13 = 13?

Subtract 13 from both sides to get 5x = 0, then divide both sides by 5 to get x = 0.

How do I check the answer?

Replace x by 0: 5(0) + 13 = 13, which is 13.

Similar equations

    Solve 5x + 13 = 13: x = 0 (steps and check) | WordGPT