Question

1+2x-x=x-5+x how do you solve this step by step word for word.

Answer 1

x = 6

Step by step:

First, collect like terms:

1 + 2x - x = x - 5 + x

1 + x = x - 5 + x

1 + x = 2x - 5

Next, move terms:

1 + x = 2x - 5

(Move variable to the left side and change its sign)

1 + x -2x = -5

(move constant to the right side and change its sign)

x - 2x = -5 - 1

Next, collect like terms:

x - 2x = -5 - 1

-x = -5 - 1

(Calculate the difference_

-x = -6

Finally change the sign on both sides of the equation:

-x = -6

x = 6

Answer 2

First, you combine like terms. On the left you would subtract the x from 2x giving you 1+x=x-5+x. On the right you add x to x to get 2x, 1+x=2x-5. Then, you move the smallest coefficient, this being the x, to the other side. 1=x-5. Finally, you add t to both sides to give you 6=x.