Question

3x + 10 = 4x +54. How did you get your answer?

Answer 1

`= > 3x + 10 = 4x + 54`

We need to get the x on the one side and the numbers on the other.

Subtract 3x from both sides:

`= > 3x - 3x + 10 = 4x - 3x + 54`

`= > 10 = x + 54`

Subtract 54 from both sides:

`= > 10 - 54 = x + 54 - 54`

`= > - 44 = x`

Thus,the value of x is -44.

For checking:

`= > 3x + 10 = 4x + 54`

`= > 3( - 44) + 10 = 4( - 44) + 54`

`= > - 132 + 10 = - 176 + 54`

`= > - 122 = - 122`

Answer 2

`x=-44`

Explanation:

`3x+10=4x+54`

To solve for the variable
`x`, start by subtracting
`3x` from both sides of the equation:

`10=x+54`

Then, subtract
`54` from both sides of the equation:

`-44=x`

Therefore,
`x=-44`

-

To check your work, simply substitute the solved value of
`x` into the initial equation:

`3(-44)+10=4(-44)+54`

Multiply:

`-132+10=-176+54`

Add:

`-122=-122`

Since both sides of the equation are equal to each other, our solution is correct!