2(x-8)=4(2x+1)

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


Simplifying
2(x + -8) = 4(2x + 1)

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

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

Solving
-16 + 2x = 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.
-16 + 2x + -8x = 4 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-16 + -6x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + -6x = 4 + 0
-16 + -6x = 4

Add '16' to each side of the equation.
-16 + 16 + -6x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + -6x = 4 + 16
-6x = 4 + 16

Combine like terms: 4 + 16 = 20
-6x = 20

Divide each side by '-6'.
x = -3.333333333

Simplifying
x = -3.333333333

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