8(x-1)=2(8-x)

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


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

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

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

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-8 + 8x + 2x = 16 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-8 + 10x = 16 + 0
-8 + 10x = 16

Add '8' to each side of the equation.
-8 + 8 + 10x = 16 + 8

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

Combine like terms: 16 + 8 = 24
10x = 24

Divide each side by '10'.
x = 2.4

Simplifying
x = 2.4

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