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

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


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

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

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

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

Reorder the terms:
3 + -4x = -4 + -1(3(-4 + 3x) + -3x)
3 + -4x = -4 + -1((-4 * 3 + 3x * 3) + -3x)
3 + -4x = -4 + -1((-12 + 9x) + -3x)

Combine like terms: 9x + -3x = 6x
3 + -4x = -4 + -1(-12 + 6x)
3 + -4x = -4 + (-12 * -1 + 6x * -1)
3 + -4x = -4 + (12 + -6x)

Combine like terms: -4 + 12 = 8
3 + -4x = 8 + -6x

Solving
3 + -4x = 8 + -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.
3 + -4x + 6x = 8 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
3 + 2x = 8 + 0
3 + 2x = 8

Add '-3' to each side of the equation.
3 + -3 + 2x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 8 + -3
2x = 8 + -3

Combine like terms: 8 + -3 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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