2(6x+8)+2(8x+6)=16(4x+2)

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Solution for 2(6x+8)+2(8x+6)=16(4x+2) equation:


Simplifying
2(6x + 8) + 2(8x + 6) = 16(4x + 2)

Reorder the terms:
2(8 + 6x) + 2(8x + 6) = 16(4x + 2)
(8 * 2 + 6x * 2) + 2(8x + 6) = 16(4x + 2)
(16 + 12x) + 2(8x + 6) = 16(4x + 2)

Reorder the terms:
16 + 12x + 2(6 + 8x) = 16(4x + 2)
16 + 12x + (6 * 2 + 8x * 2) = 16(4x + 2)
16 + 12x + (12 + 16x) = 16(4x + 2)

Reorder the terms:
16 + 12 + 12x + 16x = 16(4x + 2)

Combine like terms: 16 + 12 = 28
28 + 12x + 16x = 16(4x + 2)

Combine like terms: 12x + 16x = 28x
28 + 28x = 16(4x + 2)

Reorder the terms:
28 + 28x = 16(2 + 4x)
28 + 28x = (2 * 16 + 4x * 16)
28 + 28x = (32 + 64x)

Solving
28 + 28x = 32 + 64x

Solving for variable 'x'.

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

Add '-64x' to each side of the equation.
28 + 28x + -64x = 32 + 64x + -64x

Combine like terms: 28x + -64x = -36x
28 + -36x = 32 + 64x + -64x

Combine like terms: 64x + -64x = 0
28 + -36x = 32 + 0
28 + -36x = 32

Add '-28' to each side of the equation.
28 + -28 + -36x = 32 + -28

Combine like terms: 28 + -28 = 0
0 + -36x = 32 + -28
-36x = 32 + -28

Combine like terms: 32 + -28 = 4
-36x = 4

Divide each side by '-36'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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