Multiply -3 times the quantity (x+6)
and the equation becomes
-3x -18 +6x = 7x -10
Add -3x and 6x on the left side of the equation
3x -18 = 7x -10
The two sides of the equation are equal, so if you do the same thing to both sides they will still be equal!
Subtract 3x from both sides.
-18 = 4x -10
Add 10 to each side.
-8 = 4x
divide each side by 4
-2 = x so x = -2
Now check by substituting -2 for x in the original equation.
-3(-2+6) +6(-2) = 7(-2) - 10
Adding -2 +6
-3(4) +6(-2) = 7(-2) -10
Multiplying the terms in parenthesis
-12 -12 = -14 -10
Adding the negative terms
-24 = -24
This is true, so the answer x= -2 checks.
Always do a check when possible and correct your mistakes to get the most credit for your work.
and the equation becomes
-3x -18 +6x = 7x -10
Add -3x and 6x on the left side of the equation
3x -18 = 7x -10
The two sides of the equation are equal, so if you do the same thing to both sides they will still be equal!
Subtract 3x from both sides.
-18 = 4x -10
Add 10 to each side.
-8 = 4x
divide each side by 4
-2 = x so x = -2
Now check by substituting -2 for x in the original equation.
-3(-2+6) +6(-2) = 7(-2) - 10
Adding -2 +6
-3(4) +6(-2) = 7(-2) -10
Multiplying the terms in parenthesis
-12 -12 = -14 -10
Adding the negative terms
-24 = -24
This is true, so the answer x= -2 checks.
Always do a check when possible and correct your mistakes to get the most credit for your work.