2(x+1)2-5(x+1)=3

Solution for 2(x+1)2-5(x+1)=3 equation:

Simplifying
2(x + 1) * 2 + -5(x + 1) = 3

Reorder the terms:
2(1 + x) * 2 + -5(x + 1) = 3

Reorder the terms for easier multiplication:
2 * 2(1 + x) + -5(x + 1) = 3

Multiply 2 * 2
4(1 + x) + -5(x + 1) = 3
(1 * 4 + x * 4) + -5(x + 1) = 3
(4 + 4x) + -5(x + 1) = 3

Reorder the terms:
4 + 4x + -5(1 + x) = 3
4 + 4x + (1 * -5 + x * -5) = 3
4 + 4x + (-5 + -5x) = 3

Reorder the terms:
4 + -5 + 4x + -5x = 3

Combine like terms: 4 + -5 = -1
-1 + 4x + -5x = 3

Combine like terms: 4x + -5x = -1x
-1 + -1x = 3

Solving
-1 + -1x = 3

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1x = 3 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 3 + 1
-1x = 3 + 1

Combine like terms: 3 + 1 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4