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Solve 5x + 13 = 33

The solution of 5x + 13 = 33 is x = 4.

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The lines y = 5x + 13 and y = 33 meet at x = 4-2246810102030405060x = 4y = 5x + 13y = 33
The lines y = 5x + 13 and y = 33 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.

    5x+13=335x + 13 = 33
  2. 2

    Subtract 13 from both sides:

    5x+13−13=33−13 ⇒ 5x=205x + 13 - 13 = 33 - 13 \ \Rightarrow\ 5x = 20
  3. 3

    Divide both sides by 5:

    5x5=205 ⇒ x=4\frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    5⋅4+13=20+13=33✓5\cdot4 + 13 = 20 + 13 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 33\ \Rightarrow\ x = 4 \]
\[ 5x + 13 = 33 \]
\[ 5x + 13 - 13 = 33 - 13 \ \Rightarrow\ 5x = 20 \]
\[ \frac{5x}{5} = \frac{20}{5} \ \Rightarrow\ x = 4 \]
\[ 5\cdot4 + 13 = 20 + 13 = 33 \checkmark \]

Trying values of x in 5x + 13 = 33

x5x + 13Equals 33?
223no
328no
433yes
538no
643no

Questions

What is x in 5x + 13 = 33?

The solution of 5x + 13 = 33 is x = 4.

How do you solve 5x + 13 = 33?

Subtract 13 from both sides to get 5x = 20, then divide both sides by 5 to get x = 4.

How do I check the answer?

Replace x by 4: 5(4) + 13 = 33, which is 33.

Similar equations

    Solve 5x + 13 = 33: x = 4 (steps and check) | WordGPT