Question

Given the equation 2x + 4 = 4x − 2, select the reasoning that correctly solves for x. (1 point)

Add 2, subtract 2x, then divide by 2.
Add 2, subtract 4x, then divide by −2.
Subtract 4, subtract 2x, then divide by −2.
Subtract 4, subtract 4x, then divide by 2.

Answer 1

The option

Add
`2`, subtract
`2x`, then divide by
`2`

Explanation:

we have

`2x+4=4x-2`

Step 1

Adds
`2` both sides

`2x+4+2=4x-2+2`

`2x+6=4x`

Step 2

Subtract
`2x` both sides

`2x+6-2x=4x-2x`

`6=2x`

Step 3

Divide by
`2` both sides

`6/2=2x/2`

`x=3`

Answer 2

To solve for the problem above, we must first solve for the x first.
First you have to transfer the terms with the same variable, those with the same variables should be at the same side of the equation.
4 + 2 = 4x - 2x , 6 = 4x - 2x, 6 = 2x, 6/2 = 2x/2, 6 = x.
First you add 2 with 4, subtract 2x from 4x then divide the whole equation with 2.