(3x+6)2=(5x)2

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Solution for (3x+6)2=(5x)2 equation:


Simplifying
(3x + 6) * 2 = (5x) * 2

Reorder the terms:
(6 + 3x) * 2 = (5x) * 2

Reorder the terms for easier multiplication:
2(6 + 3x) = (5x) * 2
(6 * 2 + 3x * 2) = (5x) * 2
(12 + 6x) = (5x) * 2

Remove parenthesis around (5x)
12 + 6x = 5x * 2

Reorder the terms for easier multiplication:
12 + 6x = 5 * 2x

Multiply 5 * 2
12 + 6x = 10x

Solving
12 + 6x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
12 + 6x + -10x = 10x + -10x

Combine like terms: 6x + -10x = -4x
12 + -4x = 10x + -10x

Combine like terms: 10x + -10x = 0
12 + -4x = 0

Add '-12' to each side of the equation.
12 + -12 + -4x = 0 + -12

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

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

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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