Solve for x:3 (2 x + 4) - 7 = 3 x - 2 (x - 5)
3 (2 x + 4) = 6 x + 12:6 x + 12 - 7 = 3 x - 2 (x - 5)
Add like terms. 12 - 7 = 5:6 x + 5 = 3 x - 2 (x - 5)
-2 (x - 5) = 10 - 2 x:6 x + 5 = 3 x + 10 - 2 x
3 x - 2 x = x:6 x + 5 = x + 10
Subtract x from both sides:(6 x - x) + 5 = (x - x) + 10
6 x - x = 5 x:5 x + 5 = (x - x) + 10
x - x = 0:5 x + 5 = 10
Subtract 5 from both sides:5 x + (5 - 5) = 10 - 5
5 - 5 = 0:5 x = 10 - 5
10 - 5 = 5:5 x = 5
Divide both sides of 5 x = 5 by 5:(5 x)/5 = 5/5
5/5 = 1:x = 5/5
5/5 = 1:Answer: x = 1