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

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


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

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

Remove parenthesis around (-2 + 3x)
-2 + 3x + -6 = 4(x + 6)

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

Combine like terms: -2 + -6 = -8
-8 + 3x = 4(x + 6)

Reorder the terms:
-8 + 3x = 4(6 + x)
-8 + 3x = (6 * 4 + x * 4)
-8 + 3x = (24 + 4x)

Solving
-8 + 3x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 3x + -4x = 24 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-8 + -1x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + -1x = 24 + 0
-8 + -1x = 24

Add '8' to each side of the equation.
-8 + 8 + -1x = 24 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 24 + 8
-1x = 24 + 8

Combine like terms: 24 + 8 = 32
-1x = 32

Divide each side by '-1'.
x = -32

Simplifying
x = -32

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