5(x+4)2=2(x+1)2-27

Solution for 5(x+4)2=2(x+1)2-27 equation:

Simplifying
5(x + 4) * 2 = 2(x + 1) * 2 + -27

Reorder the terms:
5(4 + x) * 2 = 2(x + 1) * 2 + -27

Reorder the terms for easier multiplication:
5 * 2(4 + x) = 2(x + 1) * 2 + -27

Multiply 5 * 2
10(4 + x) = 2(x + 1) * 2 + -27
(4 * 10 + x * 10) = 2(x + 1) * 2 + -27
(40 + 10x) = 2(x + 1) * 2 + -27

Reorder the terms:
40 + 10x = 2(1 + x) * 2 + -27

Reorder the terms for easier multiplication:
40 + 10x = 2 * 2(1 + x) + -27

Multiply 2 * 2
40 + 10x = 4(1 + x) + -27
40 + 10x = (1 * 4 + x * 4) + -27
40 + 10x = (4 + 4x) + -27

Reorder the terms:
40 + 10x = 4 + -27 + 4x

Combine like terms: 4 + -27 = -23
40 + 10x = -23 + 4x

Solving
40 + 10x = -23 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
40 + 10x + -4x = -23 + 4x + -4x

Combine like terms: 10x + -4x = 6x
40 + 6x = -23 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 6x = -23 + 0
40 + 6x = -23

Add '-40' to each side of the equation.
40 + -40 + 6x = -23 + -40

Combine like terms: 40 + -40 = 0
0 + 6x = -23 + -40
6x = -23 + -40

Combine like terms: -23 + -40 = -63
6x = -63

Divide each side by '6'.
x = -10.5

Simplifying
x = -10.5