3(x+1)2=(x+4)2-12

Solution for 3(x+1)2=(x+4)2-12 equation:

Simplifying
3(x + 1) * 2 = (x + 4) * 2 + -12

Reorder the terms:
3(1 + x) * 2 = (x + 4) * 2 + -12

Reorder the terms for easier multiplication:
3 * 2(1 + x) = (x + 4) * 2 + -12

Multiply 3 * 2
6(1 + x) = (x + 4) * 2 + -12
(1 * 6 + x * 6) = (x + 4) * 2 + -12
(6 + 6x) = (x + 4) * 2 + -12

Reorder the terms:
6 + 6x = (4 + x) * 2 + -12

Reorder the terms for easier multiplication:
6 + 6x = 2(4 + x) + -12
6 + 6x = (4 * 2 + x * 2) + -12
6 + 6x = (8 + 2x) + -12

Reorder the terms:
6 + 6x = 8 + -12 + 2x

Combine like terms: 8 + -12 = -4
6 + 6x = -4 + 2x

Solving
6 + 6x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 6x + -2x = -4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = -4 + 0
6 + 4x = -4

Add '-6' to each side of the equation.
6 + -6 + 4x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -4 + -6
4x = -4 + -6

Combine like terms: -4 + -6 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5