Answer:
x= 6
Explanation:
3(x-4)-x+7= (4x+9)+(x-32)
Distribute 3 through the parenthesis.
3x-12-x+7=4x+9+(x-32)
When there is a "+" in front of the parenthesis the expression remains the same.
3x-12-x+7= 4x+9+x-32
Collect the like terms.
2x-12+7= 4x+9+x-32
Calculate the sum.
2x-5=4x+9+x-32
Collect the like terms.
2x-5= 5x+9-32
Calculate the difference.
2x-5= 5x-23
Move the variable to the left side and change the sign.
2x-5x+5= -23
Move the constant to the right side and change its sign.
2x-5x= -23+5
Collect the like terms.
-3x=-18
Divide both sides of the equation by -3.
-3x= -18
-3 -3
Solution:
x= 6