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Solve 4x + 13 = 65

The solution of 4x + 13 = 65 is x = 13.

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The lines y = 4x + 13 and y = 65 meet at x = 1381012141618405060708090x = 13y = 4x + 13y = 65
The lines y = 4x + 13 and y = 65 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.

    4x+13=654x + 13 = 65
  2. 2

    Subtract 13 from both sides:

    4x+13−13=65−13 ⇒ 4x=524x + 13 - 13 = 65 - 13 \ \Rightarrow\ 4x = 52
  3. 3

    Divide both sides by 4:

    4x4=524 ⇒ x=13\frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13
  4. 4

    Check: put x = 13 back into the equation.

    4⋅13+13=52+13=65✓4\cdot13 + 13 = 52 + 13 = 65 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 65\ \Rightarrow\ x = 13 \]
\[ 4x + 13 = 65 \]
\[ 4x + 13 - 13 = 65 - 13 \ \Rightarrow\ 4x = 52 \]
\[ \frac{4x}{4} = \frac{52}{4} \ \Rightarrow\ x = 13 \]
\[ 4\cdot13 + 13 = 52 + 13 = 65 \checkmark \]

Trying values of x in 4x + 13 = 65

x4x + 13Equals 65?
1157no
1261no
1365yes
1469no
1573no

Questions

What is x in 4x + 13 = 65?

The solution of 4x + 13 = 65 is x = 13.

How do you solve 4x + 13 = 65?

Subtract 13 from both sides to get 4x = 52, then divide both sides by 4 to get x = 13.

How do I check the answer?

Replace x by 13: 4(13) + 13 = 65, which is 65.

Similar equations

    Solve 4x + 13 = 65: x = 13 (steps and check) | WordGPT