2(4x-4)+2(x+3)=5(x+10)-(x+8)

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Solution for 2(4x-4)+2(x+3)=5(x+10)-(x+8) equation: 


Simplifying
2(4x + -4) + 2(x + 3) = 5(x + 10) + -1(x + 8)

Reorder the terms:
2(-4 + 4x) + 2(x + 3) = 5(x + 10) + -1(x + 8)
(-4 * 2 + 4x * 2) + 2(x + 3) = 5(x + 10) + -1(x + 8)
(-8 + 8x) + 2(x + 3) = 5(x + 10) + -1(x + 8)

Reorder the terms:
-8 + 8x + 2(3 + x) = 5(x + 10) + -1(x + 8)
-8 + 8x + (3 * 2 + x * 2) = 5(x + 10) + -1(x + 8)
-8 + 8x + (6 + 2x) = 5(x + 10) + -1(x + 8)

Reorder the terms:
-8 + 6 + 8x + 2x = 5(x + 10) + -1(x + 8)

Combine like terms: -8 + 6 = -2
-2 + 8x + 2x = 5(x + 10) + -1(x + 8)

Combine like terms: 8x + 2x = 10x
-2 + 10x = 5(x + 10) + -1(x + 8)

Reorder the terms:
-2 + 10x = 5(10 + x) + -1(x + 8)
-2 + 10x = (10 * 5 + x * 5) + -1(x + 8)
-2 + 10x = (50 + 5x) + -1(x + 8)

Reorder the terms:
-2 + 10x = 50 + 5x + -1(8 + x)
-2 + 10x = 50 + 5x + (8 * -1 + x * -1)
-2 + 10x = 50 + 5x + (-8 + -1x)

Reorder the terms:
-2 + 10x = 50 + -8 + 5x + -1x

Combine like terms: 50 + -8 = 42
-2 + 10x = 42 + 5x + -1x

Combine like terms: 5x + -1x = 4x
-2 + 10x = 42 + 4x

Solving
-2 + 10x = 42 + 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.
-2 + 10x + -4x = 42 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-2 + 6x = 42 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 6x = 42 + 0
-2 + 6x = 42

Add '2' to each side of the equation.
-2 + 2 + 6x = 42 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 42 + 2
6x = 42 + 2

Combine like terms: 42 + 2 = 44
6x = 44

Divide each side by '6'.
x = 7.333333333

Simplifying
x = 7.333333333

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