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Which equation has x =8 as its only solution?O 3(2x + 1) + 5 = 4x + 2x + 8O 2(x+3) = (62 – 4)_32+8= 2 – 3x + 6 - (2x – 4)O-(624) = 2c 4

Which equation has x =8 as its only solution?O 3(2x + 1) + 5 = 4x + 2x + 8O 2(x+3) = (62 – 4)_32+8= 2 – 3x-example-1
User Tomkarho
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1 Answer

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To know which equation has x= 8 as its only solution, we will need to solve for x in each equation:

3(2x + 1) + 5 = 4x + 2x + 8

open the parenthesis

6x + 3 + 5 = 6x + 8

6x + 8 = 6x + 8

The above has infinitely many solution

Let's move on and check for the next:

2(x+3) = 1/2 (6x -4)

open the parenthesis

2x + 6 = 3x - 2

collect like term

2x - 3x = -2 -6

-x = -8

x = 8

This equation has 8 as its only solution

Let's move on to the next and solve

-3x + 8 = x- 3x + 6 - 1/2(2x-4)

-3x + 8 = -2x + 6 - 1/2(2x - 4)

open the parenthesis

-3x + 8 = -2x + 6 - x + 2

-3x + 8 = -3x + 8

This equation has infinitely many solutions

Let's move on and solve for x in the next equation:

-(6x + 4) = 2x - 4

open the parenthesis

-6x - 4 = 2x - 4

collect like term

-8x = 0

x=0

Hence; the equation that has x = 8 as its only solution is;

2(x+3) = 1/2 (6x -4)

User DamiToma
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