x(x+6)+2x+2(x+6)+4=x(x+6)+48

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Solution for x(x+6)+2x+2(x+6)+4=x(x+6)+48 equation: 


Simplifying
x(x + 6) + 2x + 2(x + 6) + 4 = x(x + 6) + 48

Reorder the terms:
x(6 + x) + 2x + 2(x + 6) + 4 = x(x + 6) + 48
(6 * x + x * x) + 2x + 2(x + 6) + 4 = x(x + 6) + 48
(6x + x2) + 2x + 2(x + 6) + 4 = x(x + 6) + 48

Reorder the terms:
6x + x2 + 2x + 2(6 + x) + 4 = x(x + 6) + 48
6x + x2 + 2x + (6 * 2 + x * 2) + 4 = x(x + 6) + 48
6x + x2 + 2x + (12 + 2x) + 4 = x(x + 6) + 48

Reorder the terms:
12 + 4 + 6x + 2x + 2x + x2 = x(x + 6) + 48

Combine like terms: 12 + 4 = 16
16 + 6x + 2x + 2x + x2 = x(x + 6) + 48

Combine like terms: 6x + 2x = 8x
16 + 8x + 2x + x2 = x(x + 6) + 48

Combine like terms: 8x + 2x = 10x
16 + 10x + x2 = x(x + 6) + 48

Reorder the terms:
16 + 10x + x2 = x(6 + x) + 48
16 + 10x + x2 = (6 * x + x * x) + 48
16 + 10x + x2 = (6x + x2) + 48

Reorder the terms:
16 + 10x + x2 = 48 + 6x + x2

Add '-1x2' to each side of the equation.
16 + 10x + x2 + -1x2 = 48 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 10x + 0 = 48 + 6x + x2 + -1x2
16 + 10x = 48 + 6x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + 10x = 48 + 6x + 0
16 + 10x = 48 + 6x

Solving
16 + 10x = 48 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 10x + -6x = 48 + 6x + -6x

Combine like terms: 10x + -6x = 4x
16 + 4x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 4x = 48 + 0
16 + 4x = 48

Add '-16' to each side of the equation.
16 + -16 + 4x = 48 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 48 + -16
4x = 48 + -16

Combine like terms: 48 + -16 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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