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Solve 8x + 14 = 86

The solution of 8x + 14 = 86 is x = 9.

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The lines y = 8x + 14 and y = 86 meet at x = 9468101214406080100120140x = 9y = 8x + 14y = 86
The lines y = 8x + 14 and y = 86 meet at x = 9. 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=868x + 14 = 86
  2. 2

    Subtract 14 from both sides:

    8x+14−14=86−14 ⇒ 8x=728x + 14 - 14 = 86 - 14 \ \Rightarrow\ 8x = 72
  3. 3

    Divide both sides by 8:

    8x8=728 ⇒ x=9\frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    8⋅9+14=72+14=86✓8\cdot9 + 14 = 72 + 14 = 86 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 14 = 86\ \Rightarrow\ x = 9 \]
\[ 8x + 14 = 86 \]
\[ 8x + 14 - 14 = 86 - 14 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 14 = 72 + 14 = 86 \checkmark \]

Trying values of x in 8x + 14 = 86

x8x + 14Equals 86?
770no
878no
986yes
1094no
11102no

Questions

What is x in 8x + 14 = 86?

The solution of 8x + 14 = 86 is x = 9.

How do you solve 8x + 14 = 86?

Subtract 14 from both sides to get 8x = 72, then divide both sides by 8 to get x = 9.

How do I check the answer?

Replace x by 9: 8(9) + 14 = 86, which is 86.

Similar equations

    Solve 8x + 14 = 86: x = 9 (steps and check) | WordGPT