16-8x=5x-2(2x+1)

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Solution for 16-8x=5x-2(2x+1) equation:


Simplifying
16 + -8x = 5x + -2(2x + 1)

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

Reorder the terms:
16 + -8x = -2 + 5x + -4x

Combine like terms: 5x + -4x = 1x
16 + -8x = -2 + 1x

Solving
16 + -8x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + -8x + -1x = -2 + 1x + -1x

Combine like terms: -8x + -1x = -9x
16 + -9x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
16 + -9x = -2 + 0
16 + -9x = -2

Add '-16' to each side of the equation.
16 + -16 + -9x = -2 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -2 + -16
-9x = -2 + -16

Combine like terms: -2 + -16 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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