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

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


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

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

Reorder the terms:
5 + 3x = 2(-8 + x) + -6(x + 1)
5 + 3x = (-8 * 2 + x * 2) + -6(x + 1)
5 + 3x = (-16 + 2x) + -6(x + 1)

Reorder the terms:
5 + 3x = -16 + 2x + -6(1 + x)
5 + 3x = -16 + 2x + (1 * -6 + x * -6)
5 + 3x = -16 + 2x + (-6 + -6x)

Reorder the terms:
5 + 3x = -16 + -6 + 2x + -6x

Combine like terms: -16 + -6 = -22
5 + 3x = -22 + 2x + -6x

Combine like terms: 2x + -6x = -4x
5 + 3x = -22 + -4x

Solving
5 + 3x = -22 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
5 + 3x + 4x = -22 + -4x + 4x

Combine like terms: 3x + 4x = 7x
5 + 7x = -22 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + 7x = -22 + 0
5 + 7x = -22

Add '-5' to each side of the equation.
5 + -5 + 7x = -22 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = -22 + -5
7x = -22 + -5

Combine like terms: -22 + -5 = -27
7x = -27

Divide each side by '7'.
x = -3.857142857

Simplifying
x = -3.857142857

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