WordGPT

Solve 6x āˆ’ 14 = 88

The solution of 6x āˆ’ 14 = 88 is x = 17.

Explain it step by step in chatMake a short video of it
The lines y = 6x āˆ’ 14 and y = 88 meet at x = 171214161820225060708090100110120130x = 17y = 6x āˆ’ 14y = 88
The lines y = 6x āˆ’ 14 and y = 88 meet at x = 17. 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=886x - 14 = 88
  2. 2

    Add 14 to both sides:

    6xāˆ’14+14=88+14Ā ā‡’Ā 6x=1026x - 14 + 14 = 88 + 14 \ \Rightarrow\ 6x = 102
  3. 3

    Divide both sides by 6:

    6x6=1026Ā ā‡’Ā x=17\frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    6ā‹…17āˆ’14=102āˆ’14=88āœ“6\cdot17 - 14 = 102 - 14 = 88 \checkmark
LaTeX source of the formulas on this page
\[ 6x - 14 = 88\ \Rightarrow\ x = 17 \]
\[ 6x - 14 = 88 \]
\[ 6x - 14 + 14 = 88 + 14 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 - 14 = 102 - 14 = 88 \checkmark \]

Trying values of x in 6x āˆ’ 14 = 88

x6x āˆ’ 14Equals 88?
1576no
1682no
1788yes
1894no
19100no

Questions

What is x in 6x āˆ’ 14 = 88?

The solution of 6x āˆ’ 14 = 88 is x = 17.

How do you solve 6x āˆ’ 14 = 88?

Add 14 to both sides to get 6x = 102, then divide both sides by 6 to get x = 17.

How do I check the answer?

Replace x by 17: 6(17) āˆ’ 14 = 88, which is 88.

Similar equations

    Solve 6x āˆ’ 14 = 88: x = 17 (steps and check) | WordGPT