How many solutions does 2(3x+5) = 2(2x-3)+2x have

no solutions

Step-by-step explanation:

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

Distribute

6x+10 = 4x -6 +2x

Combine like terms

6x+10 = 6x-6

Subtract 6x from each side

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

10 = -6

This is never true so there  are no solutions

Steps to solve:

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

~Distributive Property

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

~Simplify

6x + 10 = 4x + -6 + 2x

~Combine Like Terms

6x + 10 = 6x - 6

Subtract 6x to both sides

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

~Simplify

10 ≠ -6

This means that there is no solution.

Best of Luck!

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.