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

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


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

Reorder the terms:
6[-2 + 1 + x + 3x] = 4x + -6

Combine like terms: -2 + 1 = -1
6[-1 + x + 3x] = 4x + -6

Combine like terms: x + 3x = 4x
6[-1 + 4x] = 4x + -6
[-1 * 6 + 4x * 6] = 4x + -6
[-6 + 24x] = 4x + -6

Reorder the terms:
-6 + 24x = -6 + 4x

Add '6' to each side of the equation.
-6 + 6 + 24x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + 24x = -6 + 6 + 4x
24x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
24x = 0 + 4x
24x = 4x

Solving
24x = 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.
24x + -4x = 4x + -4x

Combine like terms: 24x + -4x = 20x
20x = 4x + -4x

Combine like terms: 4x + -4x = 0
20x = 0

Divide each side by '20'.
x = 0.0

Simplifying
x = 0.0

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