6(x-1)+2x=(x-9)

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Solution for 6(x-1)+2x=(x-9) equation:


Simplifying
6(x + -1) + 2x = (x + -9)

Reorder the terms:
6(-1 + x) + 2x = (x + -9)
(-1 * 6 + x * 6) + 2x = (x + -9)
(-6 + 6x) + 2x = (x + -9)

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

Reorder the terms:
-6 + 8x = (-9 + x)

Remove parenthesis around (-9 + x)
-6 + 8x = -9 + x

Solving
-6 + 8x = -9 + 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.
-6 + 8x + -1x = -9 + x + -1x

Combine like terms: 8x + -1x = 7x
-6 + 7x = -9 + x + -1x

Combine like terms: x + -1x = 0
-6 + 7x = -9 + 0
-6 + 7x = -9

Add '6' to each side of the equation.
-6 + 6 + 7x = -9 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = -9 + 6
7x = -9 + 6

Combine like terms: -9 + 6 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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