Question

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

Answer 1

No solution

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.

Answer 2

Answer: x = 2

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