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Solve 4x + 13 = 85

The solution of 4x + 13 = 85 is x = 18.

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The lines y = 4x + 13 and y = 85 meet at x = 181214161820222460708090100110x = 18y = 4x + 13y = 85
The lines y = 4x + 13 and y = 85 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.

    4x+13=854x + 13 = 85
  2. 2

    Subtract 13 from both sides:

    4x+13−13=85−13 ⇒ 4x=724x + 13 - 13 = 85 - 13 \ \Rightarrow\ 4x = 72
  3. 3

    Divide both sides by 4:

    4x4=724 ⇒ x=18\frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    4⋅18+13=72+13=85✓4\cdot18 + 13 = 72 + 13 = 85 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 85\ \Rightarrow\ x = 18 \]
\[ 4x + 13 = 85 \]
\[ 4x + 13 - 13 = 85 - 13 \ \Rightarrow\ 4x = 72 \]
\[ \frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18 \]
\[ 4\cdot18 + 13 = 72 + 13 = 85 \checkmark \]

Trying values of x in 4x + 13 = 85

x4x + 13Equals 85?
1677no
1781no
1885yes
1989no
2093no

Questions

What is x in 4x + 13 = 85?

The solution of 4x + 13 = 85 is x = 18.

How do you solve 4x + 13 = 85?

Subtract 13 from both sides to get 4x = 72, then divide both sides by 4 to get x = 18.

How do I check the answer?

Replace x by 18: 4(18) + 13 = 85, which is 85.

Similar equations

    Solve 4x + 13 = 85: x = 18 (steps and check) | WordGPT