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Solve 4x + 13 = 33

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

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The lines y = 4x + 13 and y = 33 meet at x = 5246810102030405060x = 5y = 4x + 13y = 33
The lines y = 4x + 13 and y = 33 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.

    4x+13=334x + 13 = 33
  2. 2

    Subtract 13 from both sides:

    4x+13−13=33−13 ⇒ 4x=204x + 13 - 13 = 33 - 13 \ \Rightarrow\ 4x = 20
  3. 3

    Divide both sides by 4:

    4x4=204 ⇒ x=5\frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    4⋅5+13=20+13=33✓4\cdot5 + 13 = 20 + 13 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 33\ \Rightarrow\ x = 5 \]
\[ 4x + 13 = 33 \]
\[ 4x + 13 - 13 = 33 - 13 \ \Rightarrow\ 4x = 20 \]
\[ \frac{4x}{4} = \frac{20}{4} \ \Rightarrow\ x = 5 \]
\[ 4\cdot5 + 13 = 20 + 13 = 33 \checkmark \]

Trying values of x in 4x + 13 = 33

x4x + 13Equals 33?
325no
429no
533yes
637no
741no

Questions

What is x in 4x + 13 = 33?

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

How do you solve 4x + 13 = 33?

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

How do I check the answer?

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

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