Question

Someone help please:

find the value of x

2x - 2 = 4x + 6​

Answer 1

or, 2x=4x+8

or, -2x=8

or, x=-4

Answer 2

Given Equation :-

`\qquad`
`\pink{\bf \longrightarrow 2x -2 = 4x +6}`

Let's overturn the equation –

`\qquad`
`\sf \longrightarrow 4x +6 = 2x -2`

Subtract 2x from both side –

`\qquad`
`\sf \longrightarrow 4 x +6 -2x = 2x -2 -2x`

Cancel 2x from right side & also simplify this equation

`\qquad`
`\sf \longrightarrow 4 x +6 -2x =\cancel{ 2x} -2 -\cancel{2x}`

`\qquad`
`\sf \longrightarrow 2x +6 = -2`

Now, subtract 6 from both side

`\qquad`
`\sf \longrightarrow 2x +6 -6 = -2-6`

Once again, cancel 6 from left side –

`\qquad`
`\sf \longrightarrow 2x +\cancel{6} -\cancel{6} = -2-6`

On simplification –

`\qquad`
`\sf \longrightarrow 2x = -8`

Now, divide both sides by 2

`\qquad`
`\sf \longrightarrow (2x)/(2) = (-8)/(2)`

`\qquad`
`\sf \longrightarrow \frac{\cancel{2}x}{\cancel{2}} =\cancel{ (-8)/(2)}`

`\qquad`
`\pink{\bf \longrightarrow x = -4}`

• Henceforth, value of x is -4.