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Solve 12x + 14 = 2

The solution of 12x + 14 = 2 is x = -1.

The lines y = 12x + 14 and y = 2 meet at x = -1-6-4-224-80-60-40-2020406080x = -1y = 12x + 14y = 2
The lines y = 12x + 14 and y = 2 meet at x = -1. 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=212x + 14 = 2
  2. 2

    Subtract 14 from both sides:

    12x+14−14=2−14 ⇒ 12x=−1212x + 14 - 14 = 2 - 14 \ \Rightarrow\ 12x = -12
  3. 3

    Divide both sides by 12:

    12x12=−1212 ⇒ x=−1\frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    12⋅(−1)+14=−12+14=2✓12\cdot(-1) + 14 = -12 + 14 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 12x + 14 = 2\ \Rightarrow\ x = -1 \]
\[ 12x + 14 = 2 \]
\[ 12x + 14 - 14 = 2 - 14 \ \Rightarrow\ 12x = -12 \]
\[ \frac{12x}{12} = \frac{-12}{12} \ \Rightarrow\ x = -1 \]
\[ 12\cdot(-1) + 14 = -12 + 14 = 2 \checkmark \]

Trying values of x in 12x + 14 = 2

x12x + 14Equals 2?
-3-22no
-2-10no
-12yes
014no
126no

Questions

What is x in 12x + 14 = 2?

The solution of 12x + 14 = 2 is x = -1.

How do you solve 12x + 14 = 2?

Subtract 14 from both sides to get 12x = -12, then divide both sides by 12 to get x = -1.

How do I check the answer?

Replace x by -1: 12(-1) + 14 = 2, which is 2.

Similar equations

    Solve 12x + 14 = 2: x = -1 (steps and check) | WordGPT