8(x-32)=x+16

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Solution for 8(x-32)=x+16 equation:


Simplifying
8(x + -32) = x + 16

Reorder the terms:
8(-32 + x) = x + 16
(-32 * 8 + x * 8) = x + 16
(-256 + 8x) = x + 16

Reorder the terms:
-256 + 8x = 16 + x

Solving
-256 + 8x = 16 + x

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.
-256 + 8x + -1x = 16 + x + -1x

Combine like terms: 8x + -1x = 7x
-256 + 7x = 16 + x + -1x

Combine like terms: x + -1x = 0
-256 + 7x = 16 + 0
-256 + 7x = 16

Add '256' to each side of the equation.
-256 + 256 + 7x = 16 + 256

Combine like terms: -256 + 256 = 0
0 + 7x = 16 + 256
7x = 16 + 256

Combine like terms: 16 + 256 = 272
7x = 272

Divide each side by '7'.
x = 38.85714286

Simplifying
x = 38.85714286

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