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Solve 4x + 13 = 37

The solution of 4x + 13 = 37 is x = 6.

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The lines y = 4x + 13 and y = 37 meet at x = 624681012102030405060x = 6y = 4x + 13y = 37
The lines y = 4x + 13 and y = 37 meet at x = 6. 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=374x + 13 = 37
  2. 2

    Subtract 13 from both sides:

    4x+13−13=37−13 ⇒ 4x=244x + 13 - 13 = 37 - 13 \ \Rightarrow\ 4x = 24
  3. 3

    Divide both sides by 4:

    4x4=244 ⇒ x=6\frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    4⋅6+13=24+13=37✓4\cdot6 + 13 = 24 + 13 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 37\ \Rightarrow\ x = 6 \]
\[ 4x + 13 = 37 \]
\[ 4x + 13 - 13 = 37 - 13 \ \Rightarrow\ 4x = 24 \]
\[ \frac{4x}{4} = \frac{24}{4} \ \Rightarrow\ x = 6 \]
\[ 4\cdot6 + 13 = 24 + 13 = 37 \checkmark \]

Trying values of x in 4x + 13 = 37

x4x + 13Equals 37?
429no
533no
637yes
741no
845no

Questions

What is x in 4x + 13 = 37?

The solution of 4x + 13 = 37 is x = 6.

How do you solve 4x + 13 = 37?

Subtract 13 from both sides to get 4x = 24, then divide both sides by 4 to get x = 6.

How do I check the answer?

Replace x by 6: 4(6) + 13 = 37, which is 37.

Similar equations

    Solve 4x + 13 = 37: x = 6 (steps and check) | WordGPT