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

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


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

Reorder the terms:
16(-2 + x) + -8 = 8(x + 5)
(-2 * 16 + x * 16) + -8 = 8(x + 5)
(-32 + 16x) + -8 = 8(x + 5)

Reorder the terms:
-32 + -8 + 16x = 8(x + 5)

Combine like terms: -32 + -8 = -40
-40 + 16x = 8(x + 5)

Reorder the terms:
-40 + 16x = 8(5 + x)
-40 + 16x = (5 * 8 + x * 8)
-40 + 16x = (40 + 8x)

Solving
-40 + 16x = 40 + 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.
-40 + 16x + -8x = 40 + 8x + -8x

Combine like terms: 16x + -8x = 8x
-40 + 8x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-40 + 8x = 40 + 0
-40 + 8x = 40

Add '40' to each side of the equation.
-40 + 40 + 8x = 40 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = 40 + 40
8x = 40 + 40

Combine like terms: 40 + 40 = 80
8x = 80

Divide each side by '8'.
x = 10

Simplifying
x = 10

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