2((3x+1)-2(x+4)-2(x+4))-(3x+5)=0

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Solution for 2((3x+1)-2(x+4)-2(x+4))-(3x+5)=0 equation: 


Simplifying
2((3x + 1) + -2(x + 4) + -2(x + 4)) + -1(3x + 5) = 0

Reorder the terms:
2((1 + 3x) + -2(x + 4) + -2(x + 4)) + -1(3x + 5) = 0

Remove parenthesis around (1 + 3x)
2(1 + 3x + -2(x + 4) + -2(x + 4)) + -1(3x + 5) = 0

Reorder the terms:
2(1 + 3x + -2(4 + x) + -2(x + 4)) + -1(3x + 5) = 0
2(1 + 3x + (4 * -2 + x * -2) + -2(x + 4)) + -1(3x + 5) = 0
2(1 + 3x + (-8 + -2x) + -2(x + 4)) + -1(3x + 5) = 0

Reorder the terms:
2(1 + 3x + -8 + -2x + -2(4 + x)) + -1(3x + 5) = 0
2(1 + 3x + -8 + -2x + (4 * -2 + x * -2)) + -1(3x + 5) = 0
2(1 + 3x + -8 + -2x + (-8 + -2x)) + -1(3x + 5) = 0

Reorder the terms:
2(1 + -8 + -8 + 3x + -2x + -2x) + -1(3x + 5) = 0

Combine like terms: 1 + -8 = -7
2(-7 + -8 + 3x + -2x + -2x) + -1(3x + 5) = 0

Combine like terms: -7 + -8 = -15
2(-15 + 3x + -2x + -2x) + -1(3x + 5) = 0

Combine like terms: 3x + -2x = 1x
2(-15 + 1x + -2x) + -1(3x + 5) = 0

Combine like terms: 1x + -2x = -1x
2(-15 + -1x) + -1(3x + 5) = 0
(-15 * 2 + -1x * 2) + -1(3x + 5) = 0
(-30 + -2x) + -1(3x + 5) = 0

Reorder the terms:
-30 + -2x + -1(5 + 3x) = 0
-30 + -2x + (5 * -1 + 3x * -1) = 0
-30 + -2x + (-5 + -3x) = 0

Reorder the terms:
-30 + -5 + -2x + -3x = 0

Combine like terms: -30 + -5 = -35
-35 + -2x + -3x = 0

Combine like terms: -2x + -3x = -5x
-35 + -5x = 0

Solving
-35 + -5x = 0

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + -5x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -5x = 0 + 35
-5x = 0 + 35

Combine like terms: 0 + 35 = 35
-5x = 35

Divide each side by '-5'.
x = -7

Simplifying
x = -7

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