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Solve 5x + 13 = 28

The solution of 5x + 13 = 28 is x = 3.

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The lines y = 5x + 13 and y = 28 meet at x = 3-22468102030405060x = 3y = 5x + 13y = 28
The lines y = 5x + 13 and y = 28 meet at x = 3. 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=285x + 13 = 28
  2. 2

    Subtract 13 from both sides:

    5x+13−13=28−13 ⇒ 5x=155x + 13 - 13 = 28 - 13 \ \Rightarrow\ 5x = 15
  3. 3

    Divide both sides by 5:

    5x5=155 ⇒ x=3\frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3
  4. 4

    Check: put x = 3 back into the equation.

    5⋅3+13=15+13=28✓5\cdot3 + 13 = 15 + 13 = 28 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 28\ \Rightarrow\ x = 3 \]
\[ 5x + 13 = 28 \]
\[ 5x + 13 - 13 = 28 - 13 \ \Rightarrow\ 5x = 15 \]
\[ \frac{5x}{5} = \frac{15}{5} \ \Rightarrow\ x = 3 \]
\[ 5\cdot3 + 13 = 15 + 13 = 28 \checkmark \]

Trying values of x in 5x + 13 = 28

x5x + 13Equals 28?
118no
223no
328yes
433no
538no

Questions

What is x in 5x + 13 = 28?

The solution of 5x + 13 = 28 is x = 3.

How do you solve 5x + 13 = 28?

Subtract 13 from both sides to get 5x = 15, then divide both sides by 5 to get x = 3.

How do I check the answer?

Replace x by 3: 5(3) + 13 = 28, which is 28.

Similar equations

    Solve 5x + 13 = 28: x = 3 (steps and check) | WordGPT