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

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


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

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

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

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

Reorder the terms:
6 + 4x = 6(-6 + 3x)
6 + 4x = (-6 * 6 + 3x * 6)
6 + 4x = (-36 + 18x)

Solving
6 + 4x = -36 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
6 + 4x + -18x = -36 + 18x + -18x

Combine like terms: 4x + -18x = -14x
6 + -14x = -36 + 18x + -18x

Combine like terms: 18x + -18x = 0
6 + -14x = -36 + 0
6 + -14x = -36

Add '-6' to each side of the equation.
6 + -6 + -14x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = -36 + -6
-14x = -36 + -6

Combine like terms: -36 + -6 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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