SOLUTION: Variables on both sides? Can someone expain to me how to solve this? I'm trying to help my daughter with her home work and am not familar with this. Probem: 7x-1=-5+3x Tha

Question 265329: Variables on both sides? Can someone expain to me how to solve this? I'm trying to help my daughter with her home work and am not familar with this.
Probem:
7x-1=-5+3x
Thanks
Found 2 solutions by ankor@dixie-net.com, Ruli:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Problem:
7x - 1 = -5 + 3x
:
Perform the necessary operations (+,-,/*) on both sides of the equation to get the unknown (x) on one side by itself, usually on the left but doesn't have to be
7x - 1 = -5 + 3x
Subtract 3x from both sides
7x - 3x - 1 = -5 + 3x - 3x
:
which is
4x - 1 = -5 + 0
;
or just
4x - 1 = -5
;
add 1 to both sides
4x - 1 + 1 = -5 + 1
4x + 0 = -4
;
or just
4x = -4
:
Divide both sides by 4
x =
1x = -1
or just
x = -1
:
:
Check solution by substituting for x in the original equation
7x - 1 = -5 + 3x
7(-1) - 1 = -5 + 3(-1)
do the math
-7 - 1 = -5 - 3
which is
-8 = -8, equality confirms our solution of x = -1
Answer by Ruli(21) (Show Source): You can put this solution on YOUR website!
7x-1 =-5+3x
7x-1-3x =-5+3x-3x
4x-1+1 =-5+1
4x =-4
Divide each side by 4
x =-1
check:
7(-1)-1 =-5+3(-1)
-7-1 = -5-3
-8 = -8
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