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Solve 7x + 13 = 104

The solution of 7x + 13 = 104 is x = 13.

The lines y = 7x + 13 and y = 104 meet at x = 13810121416186080100120140x = 13y = 7x + 13y = 104
The lines y = 7x + 13 and y = 104 meet at x = 13. 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=1047x + 13 = 104
  2. 2

    Subtract 13 from both sides:

    7x+13−13=104−13 ⇒ 7x=917x + 13 - 13 = 104 - 13 \ \Rightarrow\ 7x = 91
  3. 3

    Divide both sides by 7:

    7x7=917 ⇒ x=13\frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    7⋅13+13=91+13=104✓7\cdot13 + 13 = 91 + 13 = 104 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 104\ \Rightarrow\ x = 13 \]
\[ 7x + 13 = 104 \]
\[ 7x + 13 - 13 = 104 - 13 \ \Rightarrow\ 7x = 91 \]
\[ \frac{7x}{7} = \frac{91}{7} \ \Rightarrow\ x = 13 \]
\[ 7\cdot13 + 13 = 91 + 13 = 104 \checkmark \]

Trying values of x in 7x + 13 = 104

x7x + 13Equals 104?
1190no
1297no
13104yes
14111no
15118no

Questions

What is x in 7x + 13 = 104?

The solution of 7x + 13 = 104 is x = 13.

How do you solve 7x + 13 = 104?

Subtract 13 from both sides to get 7x = 91, then divide both sides by 7 to get x = 13.

How do I check the answer?

Replace x by 13: 7(13) + 13 = 104, which is 104.

Similar equations

    Solve 7x + 13 = 104: x = 13 (steps and check) | WordGPT