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

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


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

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

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

Combine like terms: 8x + -1x = 7x
1 + 7x = 2x + 6

Reorder the terms:
1 + 7x = 6 + 2x

Solving
1 + 7x = 6 + 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.
1 + 7x + -2x = 6 + 2x + -2x

Combine like terms: 7x + -2x = 5x
1 + 5x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 5x = 6 + 0
1 + 5x = 6

Add '-1' to each side of the equation.
1 + -1 + 5x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 6 + -1
5x = 6 + -1

Combine like terms: 6 + -1 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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