Answer:
x=11
Explanation:
given -2 + 4x = 6(x-4) the objective is to get the variable (x) on one side and the constant on the other using inverse operations
-2 + 4x = 6(x-4)
step 1 distribute the 6 to x and -4
6*x=6x
6*-4=-24
now we have
-2 + 4x = 6x - 24
step 2 add 24 to each side
-2+24=22
-24+24 cancels out
now we have 22+4x=6x
now we want to get rid of the 4x
to do so we subtract 4x from each side
4x-4x cancels out
6x-4x=2x
now we have
2x = 22
step 4 divide each side by 2
22/2=11
2x/2=x
we're left with x = 11