Question

Solve the equation. 8 – 2x = –8x + 14

Answer 1

-2x+8 = -8x +14
-2x + 8x +8 = 14
6x+8 = 14
6x = 14 -8
6x = 6
X=1

Answer 2

`x=1`

Explanation:

We are asked to solve the given equation:
`8-2x=-8x+14`.

To solve this equation we will combine like terms by moving all the terms containing x to the left hand side of equation and terms without x to right hand side of equation.

Let us add 8x to both sides of our equation.

`8-2x+8x=-8x+8x+14`

`8-2x+8x=14`

`8+6x=14`

Let us subtract 8 from both sides of our equation.

`8-8+6x=14-8`

`6x=14-8`

`6x=6`

Upon dividing both sides of our equation by 6 we will get,

`(6x)/(6)=(6)/(6)`

`x=(6)/(6)`

`x=1`

Therefore, the value of x equals 1 will satisfy our given equation.