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Solve 4x + 13 = 53

The solution of 4x + 13 = 53 is x = 10.

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The lines y = 4x + 13 and y = 53 meet at x = 1046810121416304050607080x = 10y = 4x + 13y = 53
The lines y = 4x + 13 and y = 53 meet at x = 10. 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=534x + 13 = 53
  2. 2

    Subtract 13 from both sides:

    4x+13−13=53−13 ⇒ 4x=404x + 13 - 13 = 53 - 13 \ \Rightarrow\ 4x = 40
  3. 3

    Divide both sides by 4:

    4x4=404 ⇒ x=10\frac{4x}{4} = \frac{40}{4} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    4⋅10+13=40+13=53✓4\cdot10 + 13 = 40 + 13 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 13 = 53\ \Rightarrow\ x = 10 \]
\[ 4x + 13 = 53 \]
\[ 4x + 13 - 13 = 53 - 13 \ \Rightarrow\ 4x = 40 \]
\[ \frac{4x}{4} = \frac{40}{4} \ \Rightarrow\ x = 10 \]
\[ 4\cdot10 + 13 = 40 + 13 = 53 \checkmark \]

Trying values of x in 4x + 13 = 53

x4x + 13Equals 53?
845no
949no
1053yes
1157no
1261no

Questions

What is x in 4x + 13 = 53?

The solution of 4x + 13 = 53 is x = 10.

How do you solve 4x + 13 = 53?

Subtract 13 from both sides to get 4x = 40, then divide both sides by 4 to get x = 10.

How do I check the answer?

Replace x by 10: 4(10) + 13 = 53, which is 53.

Similar equations

    Solve 4x + 13 = 53: x = 10 (steps and check) | WordGPT