Answer:
x = 4
Explanation:
2x+4=6(x-2)
expand the parentheses on the right side by distributing the 6:
2x + 4 = 6x - 12
Now let's move the 2x to the other side of the equation:
2x-2x+4 = 6x-2x- 12
4 = 4x - 12
Now move the -12:
12 + 4 = 4x - 12 + 12
16 = 4x
Divide both sides by 4 to isolate x:
16/4 = 4x/4
4 = x
Check that it works in the original equation:
2x+4=6(x-2)
2(4) + 4 = 6 (4-2)
8 + 4 = 6(2)
12 = 12 so our solution is correct