WordGPT

Solve 6x āˆ’ 14 = 34

The solution of 6x āˆ’ 14 = 34 is x = 8.

Explain it step by step in chatMake a short video of it
The lines y = 6x āˆ’ 14 and y = 34 meet at x = 8246810121410203040506070x = 8y = 6x āˆ’ 14y = 34
The lines y = 6x āˆ’ 14 and y = 34 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 subtraction, then the multiplication.

    6xāˆ’14=346x - 14 = 34
  2. 2

    Add 14 to both sides:

    6xāˆ’14+14=34+14Ā ā‡’Ā 6x=486x - 14 + 14 = 34 + 14 \ \Rightarrow\ 6x = 48
  3. 3

    Divide both sides by 6:

    6x6=486Ā ā‡’Ā x=8\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    6ā‹…8āˆ’14=48āˆ’14=34āœ“6\cdot8 - 14 = 48 - 14 = 34 \checkmark
LaTeX source of the formulas on this page
\[ 6x - 14 = 34\ \Rightarrow\ x = 8 \]
\[ 6x - 14 = 34 \]
\[ 6x - 14 + 14 = 34 + 14 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 - 14 = 48 - 14 = 34 \checkmark \]

Trying values of x in 6x āˆ’ 14 = 34

x6x āˆ’ 14Equals 34?
622no
728no
834yes
940no
1046no

Questions

What is x in 6x āˆ’ 14 = 34?

The solution of 6x āˆ’ 14 = 34 is x = 8.

How do you solve 6x āˆ’ 14 = 34?

Add 14 to both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) āˆ’ 14 = 34, which is 34.

Similar equations

    Solve 6x āˆ’ 14 = 34: x = 8 (steps and check) | WordGPT