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Solve 8x + 13 = 29

The solution of 8x + 13 = 29 is x = 2.

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The lines y = 8x + 13 and y = 29 meet at x = 2-4-22468-2020406080x = 2y = 8x + 13y = 29
The lines y = 8x + 13 and y = 29 meet at x = 2. 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=298x + 13 = 29
  2. 2

    Subtract 13 from both sides:

    8x+13−13=29−13 ⇒ 8x=168x + 13 - 13 = 29 - 13 \ \Rightarrow\ 8x = 16
  3. 3

    Divide both sides by 8:

    8x8=168 ⇒ x=2\frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    8⋅2+13=16+13=29✓8\cdot2 + 13 = 16 + 13 = 29 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 29\ \Rightarrow\ x = 2 \]
\[ 8x + 13 = 29 \]
\[ 8x + 13 - 13 = 29 - 13 \ \Rightarrow\ 8x = 16 \]
\[ \frac{8x}{8} = \frac{16}{8} \ \Rightarrow\ x = 2 \]
\[ 8\cdot2 + 13 = 16 + 13 = 29 \checkmark \]

Trying values of x in 8x + 13 = 29

x8x + 13Equals 29?
013no
121no
229yes
337no
445no

Questions

What is x in 8x + 13 = 29?

The solution of 8x + 13 = 29 is x = 2.

How do you solve 8x + 13 = 29?

Subtract 13 from both sides to get 8x = 16, then divide both sides by 8 to get x = 2.

How do I check the answer?

Replace x by 2: 8(2) + 13 = 29, which is 29.

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    Solve 8x + 13 = 29: x = 2 (steps and check) | WordGPT