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Solve 8x + 14 = 150

The solution of 8x + 14 = 150 is x = 17.

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The lines y = 8x + 14 and y = 150 meet at x = 17121416182022100120140160180200x = 17y = 8x + 14y = 150
The lines y = 8x + 14 and y = 150 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+14=1508x + 14 = 150
  2. 2

    Subtract 14 from both sides:

    8x+14−14=150−14 ⇒ 8x=1368x + 14 - 14 = 150 - 14 \ \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+14=136+14=150✓8\cdot17 + 14 = 136 + 14 = 150 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 150\ \Rightarrow\ x = 17 \]
\[ 8x + 14 = 150 \]
\[ 8x + 14 - 14 = 150 - 14 \ \Rightarrow\ 8x = 136 \]
\[ \frac{8x}{8} = \frac{136}{8} \ \Rightarrow\ x = 17 \]
\[ 8\cdot17 + 14 = 136 + 14 = 150 \checkmark \]

Trying values of x in 8x + 14 = 150

x8x + 14Equals 150?
15134no
16142no
17150yes
18158no
19166no

Questions

What is x in 8x + 14 = 150?

The solution of 8x + 14 = 150 is x = 17.

How do you solve 8x + 14 = 150?

Subtract 14 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) + 14 = 150, which is 150.

Similar equations

    Solve 8x + 14 = 150: x = 17 (steps and check) | WordGPT