(x+2)2=(x+3)4

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


Simplifying
(x + 2) * 2 = (x + 3) * 4

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

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

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

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

Solving
4 + 2x = 12 + 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.
4 + 2x + -4x = 12 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
4 + -2x = 12 + 0
4 + -2x = 12

Add '-4' to each side of the equation.
4 + -4 + -2x = 12 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 12 + -4
-2x = 12 + -4

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

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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