5x+8=(2x+6)2

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Solution for 5x+8=(2x+6)2 equation:


Simplifying
5x + 8 = (2x + 6) * 2

Reorder the terms:
8 + 5x = (2x + 6) * 2

Reorder the terms:
8 + 5x = (6 + 2x) * 2

Reorder the terms for easier multiplication:
8 + 5x = 2(6 + 2x)
8 + 5x = (6 * 2 + 2x * 2)
8 + 5x = (12 + 4x)

Solving
8 + 5x = 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.
8 + 5x + -4x = 12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
8 + 1x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + 1x = 12 + 0
8 + 1x = 12

Add '-8' to each side of the equation.
8 + -8 + 1x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 12 + -8
1x = 12 + -8

Combine like terms: 12 + -8 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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