(x + 1)^2 - x^2 + (x + 3)^2 - (x + 2)^2 = 26
Expanding the terms inside the parentheses:
(x^2 + 2x + 1) - x^2 + (x^2 + 6x + 9) - (x^2 + 4x + 4) = 26
Simplify by combining like terms:
2x + 1 + 6x + 9 - 4x - 4 = 26
4x + 6 = 26
Subtract 6 from both sides:
4x = 20
Divide by 4:
x = 5
Therefore, x = 5.
(x + 1)^2 - x^2 + (x + 3)^2 - (x + 2)^2 = 26
Expanding the terms inside the parentheses:
(x^2 + 2x + 1) - x^2 + (x^2 + 6x + 9) - (x^2 + 4x + 4) = 26
Simplify by combining like terms:
2x + 1 + 6x + 9 - 4x - 4 = 26
4x + 6 = 26
Subtract 6 from both sides:
4x = 20
Divide by 4:
x = 5
Therefore, x = 5.