An equation is shown below. 3(x-2)+7x=1/2(6x-2) How many solutions, if any, does the equation have?
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the equation:
3(x - 2) + 7x = ½ (6x - 2)
Determine the solutions of the equation.
Solution:
In order to determine the solutions of the equation, we simply need to solve for the value of x. The first step is to distribute 3 and ½ to each value inside the parenthesis.
3(x - 2) + 7x = ½ (6x - 2)
3x - 6 + 7x = 3x - 1
Transpose 3x and -6 on the other side of the equation, hence it must be taken to note that in transposing numbers, the sign changes.
3x - 3x + 7x = -1 + 6
7x = 5
Divide both sides by 7 in order to cancel out 7x, leaving behind x.
7x/7 = 5/7
x = 5/7
Final answer:
x = 5/7