2-(x-1)=6(x+3)

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Solution for 2-(x-1)=6(x+3) equation:


Simplifying
2 + -1(x + -1) = 6(x + 3)

Reorder the terms:
2 + -1(-1 + x) = 6(x + 3)
2 + (-1 * -1 + x * -1) = 6(x + 3)
2 + (1 + -1x) = 6(x + 3)

Combine like terms: 2 + 1 = 3
3 + -1x = 6(x + 3)

Reorder the terms:
3 + -1x = 6(3 + x)
3 + -1x = (3 * 6 + x * 6)
3 + -1x = (18 + 6x)

Solving
3 + -1x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + -1x + -6x = 18 + 6x + -6x

Combine like terms: -1x + -6x = -7x
3 + -7x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -7x = 18 + 0
3 + -7x = 18

Add '-3' to each side of the equation.
3 + -3 + -7x = 18 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = 18 + -3
-7x = 18 + -3

Combine like terms: 18 + -3 = 15
-7x = 15

Divide each side by '-7'.
x = -2.142857143

Simplifying
x = -2.142857143

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