Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2 , the value of x is 4
Given
Twelve divided by the sum of x and 2 equals the quotient of 4 and the difference of x and 2
we need to write the given expression in equation
Twelve divided by the sum of x and 2 is written as [tex]\frac{12}{x+2}[/tex]
quotient of 4 and difference of x and 2 can be written as
[tex]\frac{4}{x-2}[/tex]
Now make them equal and solve for x
[tex]\frac{12}{x+2} =\frac{4}{x-2} \\12\left(x-2\right)=\left(x+2\right)\cdot \:4\\12x-24=4x+8\\12x=4x+32\\8x=32\\x=4[/tex]
So the value of x is 4
Learn more : brainly.com/question/2574967
