Question

8x -2 (x+1) = 2(3x+1)

Answer 1

8x-2x-2= 6x=2
-2 -2
6x=6x
/6 /6
x=x
so x=1

Answer 2

sorry i meant x=x so No solution

Answer 3

Simplifying
8x + -2(x + 1) = 2(3x + 1)

Reorder the terms:
8x + -2(1 + x) = 2(3x + 1)
8x + (1 * -2 + x * -2) = 2(3x + 1)
8x + (-2 + -2x) = 2(3x + 1)

Reorder the terms:
-2 + 8x + -2x = 2(3x + 1)

Combine like terms: 8x + -2x = 6x
-2 + 6x = 2(3x + 1)

Reorder the terms:
-2 + 6x = 2(1 + 3x)
-2 + 6x = (1 * 2 + 3x * 2)
-2 + 6x = (2 + 6x)

Add '-6x' to each side of the equation.
-2 + 6x + -6x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 0 = 2 + 6x + -6x
-2 = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 = 2 + 0
-2 = 2

Solving
-2 = 2

This equation is invalid, the left and right sides are not equal, therefore there is no solution.