Question

Which equation is equivalent to -19+6x-5=3x

Answer 1

• D) 6x-19-5=3x

Explanation:

`\boxed{\bf -19+6x-5=3x}`

`\sf 6x-19-5=3x`

`\sf 6x-24=3x`

`\sf 6x=3x+24`

`\sf 3x=24`

`\bf x=8`

A)

`\boxed{\bf -6x+19-5=3x}`

• 
  `\sf -6x+14=3x`
• 
  `\sf -6x=3x-14`
• 
  `\sf -9x=-14`

• 
  `\bf x=\cfrac{14}{9}`

B)

`\boxed{\bf -6x-19-5=3x}`

• 
  `\sf -6x-24=3x`
• 
  `\sf -6x=3x+24`
• 
  `\sf -9x=24`

• 
  `\bf x=-\cfrac{8}{3}`

C)

`\boxed{\bf 6x+19+5=3x}`

• 
  `\sf 6x+24=3x`
• 
  `\sf 6x=3x-24`
• 
  `\sf 3x=-24`

• 
  `\bf x=-8`

D)

`\boxed{\bf 6x-19-5=3x}`

• 
  `\sf 6x-24=3x`
• 
  `\sf 6x=3x+24`
• 
  `\sf 3x=24`

• 
  `\bf x=8`

Therefore, option D) 6x-19-5=3x is equivalent to -19+6x-5=3x.

✧ ˚ · . ·

Hope this helps!

Answer 2

The value of x is :

x = 8.

The correct option is D

Work/Explanation:

We need to isolate the variable, x.

So first I rearrange the terms:

`\pmb{-19+6x-5=3x}`

`\pmb{6x-3x=5+19}`

Simplify

`\pmb{3x=24}`

Divide each side by 3.

`\pmb{x=8}`

Hence, the answer is x = 8.

The equation that is equivalent to the given one is D.