Respuesta :
The first mistake is adding like terms on the left side of the equal sign.
8x + 2 - 5x
-5x and 8x are like terms. When combined it equals 3x not 13x.
Then you will continue on with the problem.
8x + 2 -5x = 3(-x - 1)
3x + 2 = -3x - 3
-2 -2
3x = -3x - 5
-3x -3x
-x = -5
-x -x
x = 5
8x + 2 - 5x
-5x and 8x are like terms. When combined it equals 3x not 13x.
Then you will continue on with the problem.
8x + 2 -5x = 3(-x - 1)
3x + 2 = -3x - 3
-2 -2
3x = -3x - 5
-3x -3x
-x = -5
-x -x
x = 5
For the first equation the overall mistake was adding 5x to 8x and -5x then everything from there is wrong. The correct way to solve this equation is :
8x+2-5x=3(-x-1)
Step 1: simplify both sides of the equation
8x+2+(-5x)=(3)(-x)+(3)(-1) Distribute
8x+2+(-5x)= -3x+(-3)
Step 2: combine like terms
(8x+(-5x) +(2)= -3x-3
3x+2=-3x-3
Step 3: add 3x to both sides
3x+2+3x=-3x-3+3x
6x+2=-3
Step 4: subtract 2 from both sides
6x+2-2= -3-2
6x=-5
Step 5: divide both sides by 6
6x/6= -5/6
x= -5/6 or -0.83 (the three is repeating)