8(x+2y)=16+16x-y

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


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

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

Solving for variable 'x'.

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

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

Combine like terms: 8x + -16x = -8x
-8x + 16y = 16 + 16x + -16x + -1y

Combine like terms: 16x + -16x = 0
-8x + 16y = 16 + 0 + -1y
-8x + 16y = 16 + -1y

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

Combine like terms: 16y + -16y = 0
-8x + 0 = 16 + -1y + -16y
-8x = 16 + -1y + -16y

Combine like terms: -1y + -16y = -17y
-8x = 16 + -17y

Divide each side by '-8'.
x = -2 + 2.125y

Simplifying
x = -2 + 2.125y

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