2(x+3)-6(5+x)=4x+8

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Solution for 2(x+3)-6(5+x)=4x+8 equation: 


Simplifying
2(x + 3) + -6(5 + x) = 4x + 8

Reorder the terms:
2(3 + x) + -6(5 + x) = 4x + 8
(3 * 2 + x * 2) + -6(5 + x) = 4x + 8
(6 + 2x) + -6(5 + x) = 4x + 8
6 + 2x + (5 * -6 + x * -6) = 4x + 8
6 + 2x + (-30 + -6x) = 4x + 8

Reorder the terms:
6 + -30 + 2x + -6x = 4x + 8

Combine like terms: 6 + -30 = -24
-24 + 2x + -6x = 4x + 8

Combine like terms: 2x + -6x = -4x
-24 + -4x = 4x + 8

Reorder the terms:
-24 + -4x = 8 + 4x

Solving
-24 + -4x = 8 + 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.
-24 + -4x + -4x = 8 + 4x + -4x

Combine like terms: -4x + -4x = -8x
-24 + -8x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + -8x = 8 + 0
-24 + -8x = 8

Add '24' to each side of the equation.
-24 + 24 + -8x = 8 + 24

Combine like terms: -24 + 24 = 0
0 + -8x = 8 + 24
-8x = 8 + 24

Combine like terms: 8 + 24 = 32
-8x = 32

Divide each side by '-8'.
x = -4

Simplifying
x = -4

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