-5-4(-3x-2)=6(-6-5x)-3

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Solution for -5-4(-3x-2)=6(-6-5x)-3 equation:


Simplifying
-5 + -4(-3x + -2) = 6(-6 + -5x) + -3

Reorder the terms:
-5 + -4(-2 + -3x) = 6(-6 + -5x) + -3
-5 + (-2 * -4 + -3x * -4) = 6(-6 + -5x) + -3
-5 + (8 + 12x) = 6(-6 + -5x) + -3

Combine like terms: -5 + 8 = 3
3 + 12x = 6(-6 + -5x) + -3
3 + 12x = (-6 * 6 + -5x * 6) + -3
3 + 12x = (-36 + -30x) + -3

Reorder the terms:
3 + 12x = -36 + -3 + -30x

Combine like terms: -36 + -3 = -39
3 + 12x = -39 + -30x

Solving
3 + 12x = -39 + -30x

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
3 + 12x + 30x = -39 + -30x + 30x

Combine like terms: 12x + 30x = 42x
3 + 42x = -39 + -30x + 30x

Combine like terms: -30x + 30x = 0
3 + 42x = -39 + 0
3 + 42x = -39

Add '-3' to each side of the equation.
3 + -3 + 42x = -39 + -3

Combine like terms: 3 + -3 = 0
0 + 42x = -39 + -3
42x = -39 + -3

Combine like terms: -39 + -3 = -42
42x = -42

Divide each side by '42'.
x = -1

Simplifying
x = -1

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