8(x-1)+x=2x+6(-1+x)

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Solution for 8(x-1)+x=2x+6(-1+x) equation:


Simplifying
8(x + -1) + x = 2x + 6(-1 + x)

Reorder the terms:
8(-1 + x) + x = 2x + 6(-1 + x)
(-1 * 8 + x * 8) + x = 2x + 6(-1 + x)
(-8 + 8x) + x = 2x + 6(-1 + x)

Combine like terms: 8x + x = 9x
-8 + 9x = 2x + 6(-1 + x)
-8 + 9x = 2x + (-1 * 6 + x * 6)
-8 + 9x = 2x + (-6 + 6x)

Reorder the terms:
-8 + 9x = -6 + 2x + 6x

Combine like terms: 2x + 6x = 8x
-8 + 9x = -6 + 8x

Solving
-8 + 9x = -6 + 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.
-8 + 9x + -8x = -6 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-8 + 1x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + 1x = -6 + 0
-8 + 1x = -6

Add '8' to each side of the equation.
-8 + 8 + 1x = -6 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -6 + 8
1x = -6 + 8

Combine like terms: -6 + 8 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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