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Solve 5x + 13 = 103

The solution of 5x + 13 = 103 is x = 18.

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The lines y = 5x + 13 and y = 103 meet at x = 1812141618202224708090100110120130x = 18y = 5x + 13y = 103
The lines y = 5x + 13 and y = 103 meet at x = 18. 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=1035x + 13 = 103
  2. 2

    Subtract 13 from both sides:

    5x+13−13=103−13 ⇒ 5x=905x + 13 - 13 = 103 - 13 \ \Rightarrow\ 5x = 90
  3. 3

    Divide both sides by 5:

    5x5=905 ⇒ x=18\frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    5⋅18+13=90+13=103✓5\cdot18 + 13 = 90 + 13 = 103 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 13 = 103\ \Rightarrow\ x = 18 \]
\[ 5x + 13 = 103 \]
\[ 5x + 13 - 13 = 103 - 13 \ \Rightarrow\ 5x = 90 \]
\[ \frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18 \]
\[ 5\cdot18 + 13 = 90 + 13 = 103 \checkmark \]

Trying values of x in 5x + 13 = 103

x5x + 13Equals 103?
1693no
1798no
18103yes
19108no
20113no

Questions

What is x in 5x + 13 = 103?

The solution of 5x + 13 = 103 is x = 18.

How do you solve 5x + 13 = 103?

Subtract 13 from both sides to get 5x = 90, then divide both sides by 5 to get x = 18.

How do I check the answer?

Replace x by 18: 5(18) + 13 = 103, which is 103.

Similar equations

    Solve 5x + 13 = 103: x = 18 (steps and check) | WordGPT