Question 103029
solving for x
-3(x+5)=3(x-1)
first multiply -3 across (x+5)
-3x - 15 = 3(x-1)
next multiply 3 across (x-1)
-3x - 15 = 3x - 3
now move all terms with x to the left side
-3x - 3x -15 = -3
Then move all terms without x to the right side
-3x - 3x  = -3 + 15
combine like terms
-6x = 12
finally solve for x by dividing both sides by -6
-6x/-6 = 12/-6
x = -2
Ok so we have solved for x and found that x = -2
To check the answer just take the orginal equation
-3(x+5)=3(x-1)
and replace the x with -2
-3(-2+5)=3(-2-1)
now just do the math
-3(3) = 3(-3)
-9 = -9
we end up with a true state 
so we know that -2 is the correct answer.