2(x+8)=10x-16

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Solution for 2(x+8)=10x-16 equation: 


Simplifying
2(x + 8) = 10x + -16

Reorder the terms:
2(8 + x) = 10x + -16
(8 * 2 + x * 2) = 10x + -16
(16 + 2x) = 10x + -16

Reorder the terms:
16 + 2x = -16 + 10x

Solving
16 + 2x = -16 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
16 + 2x + -10x = -16 + 10x + -10x

Combine like terms: 2x + -10x = -8x
16 + -8x = -16 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -8x = -16 + 0
16 + -8x = -16

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

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

Combine like terms: -16 + -16 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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