What is the answer to the variable x in the multi-step problem 8x-6=2x-6+6x

All real numbers are solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

8x−6=2x−6+6x

Step 1: Simplify both sides of the equation.

8x−6=2x−6+6x

8x+−6=2x+−6+6x

8x−6=(2x+6x)+(−6)(Combine Like Terms)

8x−6=8x+−6

8x−6=8x−6

Step 2: Subtract 8x from both sides.

8x−6−8x=8x−6−8x

−6=−6

Step 3: Add 6 to both sides.

−6+6=−6+6

0=0

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.