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Solve 7x + 13 = 41

The solution of 7x + 13 = 41 is x = 4.

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The lines y = 7x + 13 and y = 41 meet at x = 4-224681020406080x = 4y = 7x + 13y = 41
The lines y = 7x + 13 and y = 41 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.

    7x+13=417x + 13 = 41
  2. 2

    Subtract 13 from both sides:

    7x+13−13=41−13 ⇒ 7x=287x + 13 - 13 = 41 - 13 \ \Rightarrow\ 7x = 28
  3. 3

    Divide both sides by 7:

    7x7=287 ⇒ x=4\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    7⋅4+13=28+13=41✓7\cdot4 + 13 = 28 + 13 = 41 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 41\ \Rightarrow\ x = 4 \]
\[ 7x + 13 = 41 \]
\[ 7x + 13 - 13 = 41 - 13 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 13 = 28 + 13 = 41 \checkmark \]

Trying values of x in 7x + 13 = 41

x7x + 13Equals 41?
227no
334no
441yes
548no
655no

Questions

What is x in 7x + 13 = 41?

The solution of 7x + 13 = 41 is x = 4.

How do you solve 7x + 13 = 41?

Subtract 13 from both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) + 13 = 41, which is 41.

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    Solve 7x + 13 = 41: x = 4 (steps and check) | WordGPT