2x+16=8(x-1)

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


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

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

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

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

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

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

Add '-16' to each side of the equation.
16 + -16 + -6x = -8 + -16

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

Combine like terms: -8 + -16 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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