2(x-1)+6x=-x+16

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Solution for 2(x-1)+6x=-x+16 equation:


Simplifying
2(x + -1) + 6x = -1x + 16

Reorder the terms:
2(-1 + x) + 6x = -1x + 16
(-1 * 2 + x * 2) + 6x = -1x + 16
(-2 + 2x) + 6x = -1x + 16

Combine like terms: 2x + 6x = 8x
-2 + 8x = -1x + 16

Reorder the terms:
-2 + 8x = 16 + -1x

Solving
-2 + 8x = 16 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-2 + 8x + x = 16 + -1x + x

Combine like terms: 8x + x = 9x
-2 + 9x = 16 + -1x + x

Combine like terms: -1x + x = 0
-2 + 9x = 16 + 0
-2 + 9x = 16

Add '2' to each side of the equation.
-2 + 2 + 9x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = 16 + 2
9x = 16 + 2

Combine like terms: 16 + 2 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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