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

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


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

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

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

Combine like terms: -6x + -3x = -9x
-2 + -9x = 4(x + 1)

Reorder the terms:
-2 + -9x = 4(1 + x)
-2 + -9x = (1 * 4 + x * 4)
-2 + -9x = (4 + 4x)

Solving
-2 + -9x = 4 + 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.
-2 + -9x + -4x = 4 + 4x + -4x

Combine like terms: -9x + -4x = -13x
-2 + -13x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -13x = 4 + 0
-2 + -13x = 4

Add '2' to each side of the equation.
-2 + 2 + -13x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + -13x = 4 + 2
-13x = 4 + 2

Combine like terms: 4 + 2 = 6
-13x = 6

Divide each side by '-13'.
x = -0.4615384615

Simplifying
x = -0.4615384615

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