
solve for the value of x; 3x+8=14
3x+8=14
Step 1
subtract 8 from both sides
(3x+8)-8=(14)-8
3x+8-8=14-8
3x=6
simplify by dividing both sides by 3
x=2
5 Answers By Expert Tutors
the idea on this type of question is that you want to combine like terms and then divide as needed in order to find the value of "x"! when i do that here i get
3x + 8 = 14
3x = 6
x = 2
3x+8=14
Note: The goal is to solve for x by isolating x (i.e., making sure that x is only on one side of the equation)
1) Subtract 8 from both sides to get 3x = 6.
2) Divide both sides by 3 to get x = 2.
3) Therefore, our solution is x = 2.
Doris H. answered 04/25/25
Experience Math Specialist: Helping Students to Improve Math Scores
Please take the time to reevaluate the math problem and select the best method to solve the equation.
Step 1: Factual Mathematical Information in regards to the math question.
Solving for the value of x in the equation 3x + 8 = 14
How to solve: Isolate x by performing the inverse operation method.
- The inverse operation for addition is subtraction.
____________________________________________________________________________________
Step 2: Subtract 8 from both sides of the equation.
3x + 8 - 8 = 14 - 8
3x = 6
Step 3: Divide both sides by 3
3 x = 6
3 3
3x/3 = x 6/3 = 2
Rewrite the Equation: x = 2
Final Answer is x = 2
I hope this information is useful. Please let me know if you require any more assistance. If anyone in my neighborhood is interested in setting up an in-person math tutoring session. I look forward to hearing from them. Have an Amazing Day. Doris H. 4/25/2025
I assume you typed this because you wanted to check your work, which in this case, it's correct. If we plug x=2 back into the original equation, we can see that 3(2)+8 = 6+8 = 14, which indeed matches the right side.
Tom D. answered 04/15/25
Dr. Tom D: GED ACT SAT GRE GMAT math writing psychology biology
The axiom you use is: Equals subtracted from equals, the results are equal. You want to get x on the left side of the equation by itself.
3x+8 equals 14
and 8 equals 8
subtract the second equation from the first and you get:
3x+8=14
-8 =-8
3x = 6
Use the axiom: EQUALS DIVIDED BY EQUALS THE RESULTS ARE EQUAL.
3x+8 EQUALS 14
3 EQUIAL 3
Divide the first equation by the second equation to get the two sides of a new equation that are equal to one another:
3x=6
3=3
3x/3 = 6/3
1x =2
NOTE: 3/3=1
Check you work by substituting:
3x+8=14
3*2+8=14
6+8 =14
14=14
You got the correct answer by using the algebraic axioms
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Brenda D.
04/12/25