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Solve 8x + 13 = 149

The solution of 8x + 13 = 149 is x = 17.

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The lines y = 8x + 13 and y = 149 meet at x = 17121416182022100120140160180200x = 17y = 8x + 13y = 149
The lines y = 8x + 13 and y = 149 meet at x = 17. 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=1498x + 13 = 149
  2. 2

    Subtract 13 from both sides:

    8x+13−13=149−13 ⇒ 8x=1368x + 13 - 13 = 149 - 13 \ \Rightarrow\ 8x = 136
  3. 3

    Divide both sides by 8:

    8x8=1368 ⇒ x=17\frac{8x}{8} = \frac{136}{8} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    8⋅17+13=136+13=149✓8\cdot17 + 13 = 136 + 13 = 149 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 13 = 149\ \Rightarrow\ x = 17 \]
\[ 8x + 13 = 149 \]
\[ 8x + 13 - 13 = 149 - 13 \ \Rightarrow\ 8x = 136 \]
\[ \frac{8x}{8} = \frac{136}{8} \ \Rightarrow\ x = 17 \]
\[ 8\cdot17 + 13 = 136 + 13 = 149 \checkmark \]

Trying values of x in 8x + 13 = 149

x8x + 13Equals 149?
15133no
16141no
17149yes
18157no
19165no

Questions

What is x in 8x + 13 = 149?

The solution of 8x + 13 = 149 is x = 17.

How do you solve 8x + 13 = 149?

Subtract 13 from both sides to get 8x = 136, then divide both sides by 8 to get x = 17.

How do I check the answer?

Replace x by 17: 8(17) + 13 = 149, which is 149.

Similar equations

    Solve 8x + 13 = 149: x = 17 (steps and check) | WordGPT