3(2x-4)+16=-5(x+6)+(2-5x)

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Solution for 3(2x-4)+16=-5(x+6)+(2-5x) equation:


Simplifying
3(2x + -4) + 16 = -5(x + 6) + (2 + -5x)

Reorder the terms:
3(-4 + 2x) + 16 = -5(x + 6) + (2 + -5x)
(-4 * 3 + 2x * 3) + 16 = -5(x + 6) + (2 + -5x)
(-12 + 6x) + 16 = -5(x + 6) + (2 + -5x)

Reorder the terms:
-12 + 16 + 6x = -5(x + 6) + (2 + -5x)

Combine like terms: -12 + 16 = 4
4 + 6x = -5(x + 6) + (2 + -5x)

Reorder the terms:
4 + 6x = -5(6 + x) + (2 + -5x)
4 + 6x = (6 * -5 + x * -5) + (2 + -5x)
4 + 6x = (-30 + -5x) + (2 + -5x)

Remove parenthesis around (2 + -5x)
4 + 6x = -30 + -5x + 2 + -5x

Reorder the terms:
4 + 6x = -30 + 2 + -5x + -5x

Combine like terms: -30 + 2 = -28
4 + 6x = -28 + -5x + -5x

Combine like terms: -5x + -5x = -10x
4 + 6x = -28 + -10x

Solving
4 + 6x = -28 + -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.
4 + 6x + 10x = -28 + -10x + 10x

Combine like terms: 6x + 10x = 16x
4 + 16x = -28 + -10x + 10x

Combine like terms: -10x + 10x = 0
4 + 16x = -28 + 0
4 + 16x = -28

Add '-4' to each side of the equation.
4 + -4 + 16x = -28 + -4

Combine like terms: 4 + -4 = 0
0 + 16x = -28 + -4
16x = -28 + -4

Combine like terms: -28 + -4 = -32
16x = -32

Divide each side by '16'.
x = -2

Simplifying
x = -2

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