Question

5x-(x+1)=5-2x
aolve each equation ​

Answer 1

x = 1

Explanation:

When there is a "-" (minus) sign in front of parenthesis, we distribute the sign inside. Let's do this with "-(x+1)". So we will have:

`5x-(x+1)=5-2x\\5x-x-1=5-2x`

Now, we follow rules of algebra. We take variables to one side and numbers to another side (remember to change signs with changing sides). Shown below:

`5x-x-1=5-2x\\5x-x+2x=5+1`

Now, we add like terms in left side. Such as:

ax + bx = (a+b)x

Thus, we have:

`5x-x+2x=5+1\\6x=5+1`

Now, we add right side and divide and get a value for x:

`6x=5+1\\6x=6\\x=(6)/(6)\\x=1`

The value of x is 1