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Solve 5x + 13 = 113

The solution of 5x + 13 = 113 is x = 20.

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The lines y = 5x + 13 and y = 113 meet at x = 20141618202224268090100110120130140x = 20y = 5x + 13y = 113
The lines y = 5x + 13 and y = 113 meet at x = 20. 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=1135x + 13 = 113
  2. 2

    Subtract 13 from both sides:

    5x+13−13=113−13 ⇒ 5x=1005x + 13 - 13 = 113 - 13 \ \Rightarrow\ 5x = 100
  3. 3

    Divide both sides by 5:

    5x5=1005 ⇒ x=20\frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    5⋅20+13=100+13=113✓5\cdot20 + 13 = 100 + 13 = 113 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 113\ \Rightarrow\ x = 20 \]
\[ 5x + 13 = 113 \]
\[ 5x + 13 - 13 = 113 - 13 \ \Rightarrow\ 5x = 100 \]
\[ \frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20 \]
\[ 5\cdot20 + 13 = 100 + 13 = 113 \checkmark \]

Trying values of x in 5x + 13 = 113

x5x + 13Equals 113?
18103no
19108no
20113yes
21118no
22123no

Questions

What is x in 5x + 13 = 113?

The solution of 5x + 13 = 113 is x = 20.

How do you solve 5x + 13 = 113?

Subtract 13 from both sides to get 5x = 100, then divide both sides by 5 to get x = 20.

How do I check the answer?

Replace x by 20: 5(20) + 13 = 113, which is 113.

Similar equations

    Solve 5x + 13 = 113: x = 20 (steps and check) | WordGPT