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Solve 8x + 13 = 165

The solution of 8x + 13 = 165 is x = 19.

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The lines y = 8x + 13 and y = 165 meet at x = 19141618202224120140160180200220x = 19y = 8x + 13y = 165
The lines y = 8x + 13 and y = 165 meet at x = 19. 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=1658x + 13 = 165
  2. 2

    Subtract 13 from both sides:

    8x+13−13=165−13 ⇒ 8x=1528x + 13 - 13 = 165 - 13 \ \Rightarrow\ 8x = 152
  3. 3

    Divide both sides by 8:

    8x8=1528 ⇒ x=19\frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    8⋅19+13=152+13=165✓8\cdot19 + 13 = 152 + 13 = 165 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 165\ \Rightarrow\ x = 19 \]
\[ 8x + 13 = 165 \]
\[ 8x + 13 - 13 = 165 - 13 \ \Rightarrow\ 8x = 152 \]
\[ \frac{8x}{8} = \frac{152}{8} \ \Rightarrow\ x = 19 \]
\[ 8\cdot19 + 13 = 152 + 13 = 165 \checkmark \]

Trying values of x in 8x + 13 = 165

x8x + 13Equals 165?
17149no
18157no
19165yes
20173no
21181no

Questions

What is x in 8x + 13 = 165?

The solution of 8x + 13 = 165 is x = 19.

How do you solve 8x + 13 = 165?

Subtract 13 from both sides to get 8x = 152, then divide both sides by 8 to get x = 19.

How do I check the answer?

Replace x by 19: 8(19) + 13 = 165, which is 165.

Similar equations

    Solve 8x + 13 = 165: x = 19 (steps and check) | WordGPT