2(x+3)-(3x-4)2=42-(3x)2

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Solution for 2(x+3)-(3x-4)2=42-(3x)2 equation: 


Simplifying
2(x + 3) + -1(3x + -4) * 2 = 42 + -1(3x) * 2

Reorder the terms:
2(3 + x) + -1(3x + -4) * 2 = 42 + -1(3x) * 2
(3 * 2 + x * 2) + -1(3x + -4) * 2 = 42 + -1(3x) * 2
(6 + 2x) + -1(3x + -4) * 2 = 42 + -1(3x) * 2

Reorder the terms:
6 + 2x + -1(-4 + 3x) * 2 = 42 + -1(3x) * 2

Reorder the terms for easier multiplication:
6 + 2x + -1 * 2(-4 + 3x) = 42 + -1(3x) * 2

Multiply -1 * 2
6 + 2x + -2(-4 + 3x) = 42 + -1(3x) * 2
6 + 2x + (-4 * -2 + 3x * -2) = 42 + -1(3x) * 2
6 + 2x + (8 + -6x) = 42 + -1(3x) * 2

Reorder the terms:
6 + 8 + 2x + -6x = 42 + -1(3x) * 2

Combine like terms: 6 + 8 = 14
14 + 2x + -6x = 42 + -1(3x) * 2

Combine like terms: 2x + -6x = -4x
14 + -4x = 42 + -1(3x) * 2

Remove parenthesis around (3x)
14 + -4x = 42 + -1 * 3x * 2

Reorder the terms for easier multiplication:
14 + -4x = 42 + -1 * 3 * 2x

Multiply -1 * 3
14 + -4x = 42 + -3 * 2x

Multiply -3 * 2
14 + -4x = 42 + -6x

Solving
14 + -4x = 42 + -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.
14 + -4x + 6x = 42 + -6x + 6x

Combine like terms: -4x + 6x = 2x
14 + 2x = 42 + -6x + 6x

Combine like terms: -6x + 6x = 0
14 + 2x = 42 + 0
14 + 2x = 42

Add '-14' to each side of the equation.
14 + -14 + 2x = 42 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 42 + -14
2x = 42 + -14

Combine like terms: 42 + -14 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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