find the value of x in 3 (x+2)=18
Answers
Answer:
3x+6=18
3x=18-6
3x=12
x=12/3
x= 4 is a right answer
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Answer:
To solve the given linear equation, x + (3x - 2) = 18, for the variable x, begin removing the parentheses on the left side as follows:
x + (3x - 2) = 18 (Given)
x + 3x - 2 = 18
NOTE: (3x - 2) = 1(3x - 2) = 1(3x) - 1(2) = 3x - 2
Now, collecting like-terms on the left side, we get:
4x - 2 = 18
Now, add 2 to both sides of the equation in order to begin isolating the variable x on one side, in this case the left side, as follows:
4x - 2 + 2 = 18 + 2
4x + 0 = 20
4x = 20
Now, divide both sides of the equation by 4 in order to isolate x on the left side, thus finally solving the equation for x as follows:
(4x)/4 = 20/4
(4/4)x = 20/4
(1)x = 5
x = 5
CHECK (ALWAYS PERFORM THIS STEP, AND DO SO BACK IN THE ORIGINAL, GIVEN EQUATION!):
x + (3x - 2) = 18
5 + (3(5) - 2) = 18
5 + (15 - 2) = 18
5 + (13) = 18
5 + 13 = 18
18 = 18
Therefore, x = 5 is indeed the solution to the given equation
Step-by-step explanation: