6+x=8(x-1)

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


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

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

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

Combine like terms: x + -8x = -7x
6 + -7x = -8 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -7x = -8 + 0
6 + -7x = -8

Add '-6' to each side of the equation.
6 + -6 + -7x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -8 + -6
-7x = -8 + -6

Combine like terms: -8 + -6 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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