2(x+4)+2(2x)=(5x-3)+(2x+1)+(x+6)

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Solution for 2(x+4)+2(2x)=(5x-3)+(2x+1)+(x+6) equation:


Simplifying
2(x + 4) + 2(2x) = (5x + -3) + (2x + 1) + (x + 6)

Reorder the terms:
2(4 + x) + 2(2x) = (5x + -3) + (2x + 1) + (x + 6)
(4 * 2 + x * 2) + 2(2x) = (5x + -3) + (2x + 1) + (x + 6)
(8 + 2x) + 2(2x) = (5x + -3) + (2x + 1) + (x + 6)

Remove parenthesis around (2x)
8 + 2x + 2 * 2x = (5x + -3) + (2x + 1) + (x + 6)

Multiply 2 * 2
8 + 2x + 4x = (5x + -3) + (2x + 1) + (x + 6)

Combine like terms: 2x + 4x = 6x
8 + 6x = (5x + -3) + (2x + 1) + (x + 6)

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

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

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

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

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

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

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

Combine like terms: -3 + 1 = -2
8 + 6x = -2 + 6 + 5x + 2x + x

Combine like terms: -2 + 6 = 4
8 + 6x = 4 + 5x + 2x + x

Combine like terms: 5x + 2x = 7x
8 + 6x = 4 + 7x + x

Combine like terms: 7x + x = 8x
8 + 6x = 4 + 8x

Solving
8 + 6x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 6x + -8x = 4 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
8 + -2x = 4 + 0
8 + -2x = 4

Add '-8' to each side of the equation.
8 + -8 + -2x = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 4 + -8
-2x = 4 + -8

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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