6x+6-(4x-(6(x-3)-2))=6(x-1)

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Solution for 6x+6-(4x-(6(x-3)-2))=6(x-1) equation:


Simplifying
6x + 6 + -1(4x + -1(6(x + -3) + -2)) = 6(x + -1)

Reorder the terms:
6x + 6 + -1(4x + -1(6(-3 + x) + -2)) = 6(x + -1)
6x + 6 + -1(4x + -1((-3 * 6 + x * 6) + -2)) = 6(x + -1)
6x + 6 + -1(4x + -1((-18 + 6x) + -2)) = 6(x + -1)

Reorder the terms:
6x + 6 + -1(4x + -1(-18 + -2 + 6x)) = 6(x + -1)

Combine like terms: -18 + -2 = -20
6x + 6 + -1(4x + -1(-20 + 6x)) = 6(x + -1)
6x + 6 + -1(4x + (-20 * -1 + 6x * -1)) = 6(x + -1)
6x + 6 + -1(4x + (20 + -6x)) = 6(x + -1)

Reorder the terms:
6x + 6 + -1(20 + 4x + -6x) = 6(x + -1)

Combine like terms: 4x + -6x = -2x
6x + 6 + -1(20 + -2x) = 6(x + -1)
6x + 6 + (20 * -1 + -2x * -1) = 6(x + -1)
6x + 6 + (-20 + 2x) = 6(x + -1)

Reorder the terms:
6 + -20 + 6x + 2x = 6(x + -1)

Combine like terms: 6 + -20 = -14
-14 + 6x + 2x = 6(x + -1)

Combine like terms: 6x + 2x = 8x
-14 + 8x = 6(x + -1)

Reorder the terms:
-14 + 8x = 6(-1 + x)
-14 + 8x = (-1 * 6 + x * 6)
-14 + 8x = (-6 + 6x)

Solving
-14 + 8x = -6 + 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.
-14 + 8x + -6x = -6 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-14 + 2x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + 2x = -6 + 0
-14 + 2x = -6

Add '14' to each side of the equation.
-14 + 14 + 2x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = -6 + 14
2x = -6 + 14

Combine like terms: -6 + 14 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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