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Solve 5x + 13 = 108

The solution of 5x + 13 = 108 is x = 19.

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The lines y = 5x + 13 and y = 108 meet at x = 191416182022248090100110120130140x = 19y = 5x + 13y = 108
The lines y = 5x + 13 and y = 108 meet at x = 19. 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.

    5x+13=1085x + 13 = 108
  2. 2

    Subtract 13 from both sides:

    5x+13−13=108−13 ⇒ 5x=955x + 13 - 13 = 108 - 13 \ \Rightarrow\ 5x = 95
  3. 3

    Divide both sides by 5:

    5x5=955 ⇒ x=19\frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    5⋅19+13=95+13=108✓5\cdot19 + 13 = 95 + 13 = 108 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 108\ \Rightarrow\ x = 19 \]
\[ 5x + 13 = 108 \]
\[ 5x + 13 - 13 = 108 - 13 \ \Rightarrow\ 5x = 95 \]
\[ \frac{5x}{5} = \frac{95}{5} \ \Rightarrow\ x = 19 \]
\[ 5\cdot19 + 13 = 95 + 13 = 108 \checkmark \]

Trying values of x in 5x + 13 = 108

x5x + 13Equals 108?
1798no
18103no
19108yes
20113no
21118no

Questions

What is x in 5x + 13 = 108?

The solution of 5x + 13 = 108 is x = 19.

How do you solve 5x + 13 = 108?

Subtract 13 from both sides to get 5x = 95, then divide both sides by 5 to get x = 19.

How do I check the answer?

Replace x by 19: 5(19) + 13 = 108, which is 108.

Similar equations

    Solve 5x + 13 = 108: x = 19 (steps and check) | WordGPT