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Solve 8x + 13 = 125

The solution of 8x + 13 = 125 is x = 14.

The lines y = 8x + 13 and y = 125 meet at x = 14810121416182080100120140160180x = 14y = 8x + 13y = 125
The lines y = 8x + 13 and y = 125 meet at x = 14. 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=1258x + 13 = 125
  2. 2

    Subtract 13 from both sides:

    8x+13−13=125−13 ⇒ 8x=1128x + 13 - 13 = 125 - 13 \ \Rightarrow\ 8x = 112
  3. 3

    Divide both sides by 8:

    8x8=1128 ⇒ x=14\frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    8⋅14+13=112+13=125✓8\cdot14 + 13 = 112 + 13 = 125 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 125\ \Rightarrow\ x = 14 \]
\[ 8x + 13 = 125 \]
\[ 8x + 13 - 13 = 125 - 13 \ \Rightarrow\ 8x = 112 \]
\[ \frac{8x}{8} = \frac{112}{8} \ \Rightarrow\ x = 14 \]
\[ 8\cdot14 + 13 = 112 + 13 = 125 \checkmark \]

Trying values of x in 8x + 13 = 125

x8x + 13Equals 125?
12109no
13117no
14125yes
15133no
16141no

Questions

What is x in 8x + 13 = 125?

The solution of 8x + 13 = 125 is x = 14.

How do you solve 8x + 13 = 125?

Subtract 13 from both sides to get 8x = 112, then divide both sides by 8 to get x = 14.

How do I check the answer?

Replace x by 14: 8(14) + 13 = 125, which is 125.

Similar equations

    Solve 8x + 13 = 125: x = 14 (steps and check) | WordGPT