2(3x+1)+6=5(-2x-8)

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Solution for 2(3x+1)+6=5(-2x-8) equation:


Simplifying
2(3x + 1) + 6 = 5(-2x + -8)

Reorder the terms:
2(1 + 3x) + 6 = 5(-2x + -8)
(1 * 2 + 3x * 2) + 6 = 5(-2x + -8)
(2 + 6x) + 6 = 5(-2x + -8)

Reorder the terms:
2 + 6 + 6x = 5(-2x + -8)

Combine like terms: 2 + 6 = 8
8 + 6x = 5(-2x + -8)

Reorder the terms:
8 + 6x = 5(-8 + -2x)
8 + 6x = (-8 * 5 + -2x * 5)
8 + 6x = (-40 + -10x)

Solving
8 + 6x = -40 + -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.
8 + 6x + 10x = -40 + -10x + 10x

Combine like terms: 6x + 10x = 16x
8 + 16x = -40 + -10x + 10x

Combine like terms: -10x + 10x = 0
8 + 16x = -40 + 0
8 + 16x = -40

Add '-8' to each side of the equation.
8 + -8 + 16x = -40 + -8

Combine like terms: 8 + -8 = 0
0 + 16x = -40 + -8
16x = -40 + -8

Combine like terms: -40 + -8 = -48
16x = -48

Divide each side by '16'.
x = -3

Simplifying
x = -3

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