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Solve 6x + 13 = 37

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

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The lines y = 6x + 13 and y = 37 meet at x = 4-22468101020304050607080x = 4y = 6x + 13y = 37
The lines y = 6x + 13 and y = 37 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.

    6x+13=376x + 13 = 37
  2. 2

    Subtract 13 from both sides:

    6x+13−13=37−13 ⇒ 6x=246x + 13 - 13 = 37 - 13 \ \Rightarrow\ 6x = 24
  3. 3

    Divide both sides by 6:

    6x6=246 ⇒ x=4\frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    6⋅4+13=24+13=37✓6\cdot4 + 13 = 24 + 13 = 37 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 13 = 37\ \Rightarrow\ x = 4 \]
\[ 6x + 13 = 37 \]
\[ 6x + 13 - 13 = 37 - 13 \ \Rightarrow\ 6x = 24 \]
\[ \frac{6x}{6} = \frac{24}{6} \ \Rightarrow\ x = 4 \]
\[ 6\cdot4 + 13 = 24 + 13 = 37 \checkmark \]

Trying values of x in 6x + 13 = 37

x6x + 13Equals 37?
225no
331no
437yes
543no
649no

Questions

What is x in 6x + 13 = 37?

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

How do you solve 6x + 13 = 37?

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

How do I check the answer?

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

Similar equations

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