What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = ½

group of answer choices

the student did not multiply all terms by the common denominator

the student found an incorrect common denominator

the student did not use opposite operations appropriately

the student did not correctly eliminate the variable from one side of the equation

B) the student found an incorrect common denominator

Step-by-step explanation:

The error was in the second step - 1/5x and 3/5x do not become 1x and 3x, it becomes 4/5x. That was the mistake.

I hope this helps!

The answer is A. The student did not multiply all terms by the common denominator.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1