Question

10-2(2x+1)=4(x-2)solve each equation for x graph your Solution on a number line ​

Answer 1

Answer:  x = 2

Step-by-step explanation:

10 - 2(2x + 1) = 4(x - 2)

10 - 4x - 2 = 4x - 8       distributed -2 into 2x + 1 and 4 into x - 2

8 - 4x = 4x - 8             added like terms (10 - 2 = 8) on left side

8        = 8x - 8             added 4x to both sides

16       = 8x                  added  8 to both sides

2        =  x                   divided 8 from both sides

Answer 2

Answer:

No solution

Step-by-step explanation:

Actually, you have only one equation here.  We will solve it for x.

Performing the indicated multiplication, we obtain:

10-2(2x+1)=4(x-2)  =>  10 - 4x - 2 = 4x - 8, or 10 - 2 = -8.  This can never be true, so this equation has no solution.