8(x-1)=x+6

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


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

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

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

Solving
-8 + 8x = 6 + 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.
-8 + 8x + -1x = 6 + x + -1x

Combine like terms: 8x + -1x = 7x
-8 + 7x = 6 + x + -1x

Combine like terms: x + -1x = 0
-8 + 7x = 6 + 0
-8 + 7x = 6

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

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

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

Divide each side by '7'.
x = 2

Simplifying
x = 2

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