Question

What's the value f x?

`5x-6=3x-8`

Answer 1

• -1

Explanation:

Given equation,

⇒ 5x - 6 = 3x - 8

Subtracting 3x from both sides :

⇒ 5x – 6 – 3x = 3x – 8 – 3x

⇒ 2x – 6 = – 8

Adding 6 to both sides we get :

⇒ 2x – 6 + 6 = – 8 + 6

⇒ 2x = – 2

Dividing both sides by 2 we get :

⇒ 2x/2 = – 2/2

⇒ x = – 1

Therefore,

• The value of x is -1

Answer 2

`\sf \boxed{\bold{x=-1}}`

Solving Stepwise:

`\dashrightarrow \sf 5x-6=3x-8`

add 6 on both sides

`\dashrightarrow \sf 5x-6+6=3x-8+6`

simplify

`\dashrightarrow \sf 5x=3x-2`

subtract both sides by 3x

`\dashrightarrow \sf 5x-3x=3x-2-3x`

simplify

`\dashrightarrow \sf 2x=-2`

divide both sides by 2

`\dashrightarrow \sf (2x)/(2) =(-2)/(2)`

simplify

`\dashrightarrow \sf x =-1`

Check for the answer:

insert x = -1

`\hookrightarrow \sf 5(-1)-6=3(-1)-8`

`\hookrightarrow \sf -5-6=-3-8`

`\hookrightarrow \sf -11=-11`

L.H.S = R.H.S. Hence the statement x = -1 is correct.