WordGPT

Solve 6x + 14 = 2

The solution of 6x + 14 = 2 is x = -2.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 14 and y = 2 meet at x = -2-8-6-4-224-40-30-20-1010203040x = -2y = 6x + 14y = 2
The lines y = 6x + 14 and y = 2 meet at x = -2. 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.

    6x+14=26x + 14 = 2
  2. 2

    Subtract 14 from both sides:

    6x+14−14=2−14 ⇒ 6x=−126x + 14 - 14 = 2 - 14 \ \Rightarrow\ 6x = -12
  3. 3

    Divide both sides by 6:

    6x6=−126 ⇒ x=−2\frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    6⋅(−2)+14=−12+14=2✓6\cdot(-2) + 14 = -12 + 14 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 14 = 2\ \Rightarrow\ x = -2 \]
\[ 6x + 14 = 2 \]
\[ 6x + 14 - 14 = 2 - 14 \ \Rightarrow\ 6x = -12 \]
\[ \frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2 \]
\[ 6\cdot(-2) + 14 = -12 + 14 = 2 \checkmark \]

Trying values of x in 6x + 14 = 2

x6x + 14Equals 2?
-4-10no
-3-4no
-22yes
-18no
014no

Questions

What is x in 6x + 14 = 2?

The solution of 6x + 14 = 2 is x = -2.

How do you solve 6x + 14 = 2?

Subtract 14 from both sides to get 6x = -12, then divide both sides by 6 to get x = -2.

How do I check the answer?

Replace x by -2: 6(-2) + 14 = 2, which is 2.

Similar equations

    Solve 6x + 14 = 2: x = -2 (steps and check) | WordGPT