Answer
x = 4/3
Work Step by Step
-2{7 - [4 - 2(1 - x) + 3]} = 10 - [4x - 2(x - 3)]
Expand [4 - 2(1 - x) + 3]:
4 - 2 + 2x + 3
2 + 2x + 3
2x + 5
Expand 2(x - 3):
2x - 6
Rewrite the equation:
-2[7 -(2x + 5)] = 10 - [4x - (2x - 6)]
-2(7 -2x -5) = 10 - (4x - 2x + 6)
-2(2-2x) = 10 - (2x + 6)
-2(2-2x) = 10 - 2x - 6
-4+4x = -2x + 4
Add 4 to both sides:
-4 + 4x + 4 = -2x + 4 + 4
4x = -2x + 8
Simplify
6x = 8
Divide both sides by 6:
x = 8/6 or 4/3
