2(3-2(x+8)-4)+5(x+2(x+1))=4(x+13)

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Solution for 2(3-2(x+8)-4)+5(x+2(x+1))=4(x+13) equation: 


Simplifying
2(3 + -2(x + 8) + -4) + 5(x + 2(x + 1)) = 4(x + 13)

Reorder the terms:
2(3 + -2(8 + x) + -4) + 5(x + 2(x + 1)) = 4(x + 13)
2(3 + (8 * -2 + x * -2) + -4) + 5(x + 2(x + 1)) = 4(x + 13)
2(3 + (-16 + -2x) + -4) + 5(x + 2(x + 1)) = 4(x + 13)

Reorder the terms:
2(3 + -16 + -4 + -2x) + 5(x + 2(x + 1)) = 4(x + 13)

Combine like terms: 3 + -16 = -13
2(-13 + -4 + -2x) + 5(x + 2(x + 1)) = 4(x + 13)

Combine like terms: -13 + -4 = -17
2(-17 + -2x) + 5(x + 2(x + 1)) = 4(x + 13)
(-17 * 2 + -2x * 2) + 5(x + 2(x + 1)) = 4(x + 13)
(-34 + -4x) + 5(x + 2(x + 1)) = 4(x + 13)

Reorder the terms:
-34 + -4x + 5(x + 2(1 + x)) = 4(x + 13)
-34 + -4x + 5(x + (1 * 2 + x * 2)) = 4(x + 13)
-34 + -4x + 5(x + (2 + 2x)) = 4(x + 13)

Reorder the terms:
-34 + -4x + 5(2 + x + 2x) = 4(x + 13)

Combine like terms: x + 2x = 3x
-34 + -4x + 5(2 + 3x) = 4(x + 13)
-34 + -4x + (2 * 5 + 3x * 5) = 4(x + 13)
-34 + -4x + (10 + 15x) = 4(x + 13)

Reorder the terms:
-34 + 10 + -4x + 15x = 4(x + 13)

Combine like terms: -34 + 10 = -24
-24 + -4x + 15x = 4(x + 13)

Combine like terms: -4x + 15x = 11x
-24 + 11x = 4(x + 13)

Reorder the terms:
-24 + 11x = 4(13 + x)
-24 + 11x = (13 * 4 + x * 4)
-24 + 11x = (52 + 4x)

Solving
-24 + 11x = 52 + 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 + 11x + -4x = 52 + 4x + -4x

Combine like terms: 11x + -4x = 7x
-24 + 7x = 52 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 7x = 52 + 0
-24 + 7x = 52

Add '24' to each side of the equation.
-24 + 24 + 7x = 52 + 24

Combine like terms: -24 + 24 = 0
0 + 7x = 52 + 24
7x = 52 + 24

Combine like terms: 52 + 24 = 76
7x = 76

Divide each side by '7'.
x = 10.85714286

Simplifying
x = 10.85714286

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