3(x+4)+(x-2)=2-(2x+16)

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Solution for 3(x+4)+(x-2)=2-(2x+16) equation:


Simplifying
3(x + 4) + (x + -2) = 2 + -1(2x + 16)

Reorder the terms:
3(4 + x) + (x + -2) = 2 + -1(2x + 16)
(4 * 3 + x * 3) + (x + -2) = 2 + -1(2x + 16)
(12 + 3x) + (x + -2) = 2 + -1(2x + 16)

Reorder the terms:
12 + 3x + (-2 + x) = 2 + -1(2x + 16)

Remove parenthesis around (-2 + x)
12 + 3x + -2 + x = 2 + -1(2x + 16)

Reorder the terms:
12 + -2 + 3x + x = 2 + -1(2x + 16)

Combine like terms: 12 + -2 = 10
10 + 3x + x = 2 + -1(2x + 16)

Combine like terms: 3x + x = 4x
10 + 4x = 2 + -1(2x + 16)

Reorder the terms:
10 + 4x = 2 + -1(16 + 2x)
10 + 4x = 2 + (16 * -1 + 2x * -1)
10 + 4x = 2 + (-16 + -2x)

Combine like terms: 2 + -16 = -14
10 + 4x = -14 + -2x

Solving
10 + 4x = -14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 4x + 2x = -14 + -2x + 2x

Combine like terms: 4x + 2x = 6x
10 + 6x = -14 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 6x = -14 + 0
10 + 6x = -14

Add '-10' to each side of the equation.
10 + -10 + 6x = -14 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -14 + -10
6x = -14 + -10

Combine like terms: -14 + -10 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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