WordGPT

Solve 12x + 14 = 110

The solution of 12x + 14 = 110 is x = 8.

Explain it step by step in chatMake a short video of it
The lines y = 12x + 14 and y = 110 meet at x = 82468101214406080100120140160180x = 8y = 12x + 14y = 110
The lines y = 12x + 14 and y = 110 meet at x = 8. 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.

    12x+14=11012x + 14 = 110
  2. 2

    Subtract 14 from both sides:

    12x+14−14=110−14 ⇒ 12x=9612x + 14 - 14 = 110 - 14 \ \Rightarrow\ 12x = 96
  3. 3

    Divide both sides by 12:

    12x12=9612 ⇒ x=8\frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    12⋅8+14=96+14=110✓12\cdot8 + 14 = 96 + 14 = 110 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 110\ \Rightarrow\ x = 8 \]
\[ 12x + 14 = 110 \]
\[ 12x + 14 - 14 = 110 - 14 \ \Rightarrow\ 12x = 96 \]
\[ \frac{12x}{12} = \frac{96}{12} \ \Rightarrow\ x = 8 \]
\[ 12\cdot8 + 14 = 96 + 14 = 110 \checkmark \]

Trying values of x in 12x + 14 = 110

x12x + 14Equals 110?
686no
798no
8110yes
9122no
10134no

Questions

What is x in 12x + 14 = 110?

The solution of 12x + 14 = 110 is x = 8.

How do you solve 12x + 14 = 110?

Subtract 14 from both sides to get 12x = 96, then divide both sides by 12 to get x = 8.

How do I check the answer?

Replace x by 8: 12(8) + 14 = 110, which is 110.

Similar equations

    Solve 12x + 14 = 110: x = 8 (steps and check) | WordGPT