Answer
x = 19
Work Step by Step
7(x + 1) = 4[x - (3 - x)]
Expand the left side of the equation:
7(x + 1) = 7x + 7
Expand the right side of the equation:
4[x - (3 - x)] = 4(x - 3 + x) = 4(2x-3) = 8x - 12
Rewrite the equation:
7x + 7 = 8x - 12
Subtract 7 from both sides:
7x + 7 - 7 = 8x - 12 - 7
7x = 8x - 19
Simplify
x = 19
Check:
7(x + 1) = 4[x - (3 - x)]
7(19 + 1) = 4[19 - (3 - 19)]
7(20) = 4(19 + 16)
140 = 140 --> TRUE
