What is the value of x in the equation 4(x + 6)/8 = 3x -2
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the equation: 4(x + 6)/8 = 3x -2
Find the value of x
Solution:
Distribute 4 to the numbers inside the parenthesis.
4(x + 6)/8 = 3x -2
(4x +24)/8 = 3x -2
Multiply 8 in both sides of the equation in order to cancel the numerator in the left side of the equation.
4x + 24 = 8(3x - 2)
4x + 25 = 24x -2
Transpose common variables on one side. Remember that when transposing, the sign changes.
25 + 2 = 24x - 4x
27 = 20x
Divide both sides by 20 in order to find the value of x
20x/20 = 27/20
x = 27/20 or 1.35