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Solve 8x + 13 = 53

The solution of 8x + 13 = 53 is x = 5.

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The lines y = 8x + 13 and y = 53 meet at x = 524681020406080100x = 5y = 8x + 13y = 53
The lines y = 8x + 13 and y = 53 meet at x = 5. 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.

    8x+13=538x + 13 = 53
  2. 2

    Subtract 13 from both sides:

    8x+13−13=53−13 ⇒ 8x=408x + 13 - 13 = 53 - 13 \ \Rightarrow\ 8x = 40
  3. 3

    Divide both sides by 8:

    8x8=408 ⇒ x=5\frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5
  4. 4

    Check: put x = 5 back into the equation.

    8⋅5+13=40+13=53✓8\cdot5 + 13 = 40 + 13 = 53 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 53\ \Rightarrow\ x = 5 \]
\[ 8x + 13 = 53 \]
\[ 8x + 13 - 13 = 53 - 13 \ \Rightarrow\ 8x = 40 \]
\[ \frac{8x}{8} = \frac{40}{8} \ \Rightarrow\ x = 5 \]
\[ 8\cdot5 + 13 = 40 + 13 = 53 \checkmark \]

Trying values of x in 8x + 13 = 53

x8x + 13Equals 53?
337no
445no
553yes
661no
769no

Questions

What is x in 8x + 13 = 53?

The solution of 8x + 13 = 53 is x = 5.

How do you solve 8x + 13 = 53?

Subtract 13 from both sides to get 8x = 40, then divide both sides by 8 to get x = 5.

How do I check the answer?

Replace x by 5: 8(5) + 13 = 53, which is 53.

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    Solve 8x + 13 = 53: x = 5 (steps and check) | WordGPT