(40+x)2=(3x)2

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Solution for (40+x)2=(3x)2 equation:


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

Reorder the terms for easier multiplication:
2(40 + x) = (3x) * 2
(40 * 2 + x * 2) = (3x) * 2
(80 + 2x) = (3x) * 2

Remove parenthesis around (3x)
80 + 2x = 3x * 2

Reorder the terms for easier multiplication:
80 + 2x = 3 * 2x

Multiply 3 * 2
80 + 2x = 6x

Solving
80 + 2x = 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.
80 + 2x + -6x = 6x + -6x

Combine like terms: 2x + -6x = -4x
80 + -4x = 6x + -6x

Combine like terms: 6x + -6x = 0
80 + -4x = 0

Add '-80' to each side of the equation.
80 + -80 + -4x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -4x = 0 + -80
-4x = 0 + -80

Combine like terms: 0 + -80 = -80
-4x = -80

Divide each side by '-4'.
x = 20

Simplifying
x = 20

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