Select all the expressions that are equivalent to 10w - 8 + 6 - 4w.

2(3w - 1)
(6w + 3) + (2w - 7)
6w - 2
(11w - 1) - (5w + 3)
3w + 7 + 3w - 9
14w + 14
2(5w + 7)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions