-5(5x-(3x+4))=-5-(3(2x-4)-2X)

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


Simplifying
-5(5x + -1(3x + 4)) = -5 + -1(3(2x + -4) + -2X)

Reorder the terms:
-5(5x + -1(4 + 3x)) = -5 + -1(3(2x + -4) + -2X)
-5(5x + (4 * -1 + 3x * -1)) = -5 + -1(3(2x + -4) + -2X)
-5(5x + (-4 + -3x)) = -5 + -1(3(2x + -4) + -2X)

Reorder the terms:
-5(-4 + 5x + -3x) = -5 + -1(3(2x + -4) + -2X)

Combine like terms: 5x + -3x = 2x
-5(-4 + 2x) = -5 + -1(3(2x + -4) + -2X)
(-4 * -5 + 2x * -5) = -5 + -1(3(2x + -4) + -2X)
(20 + -10x) = -5 + -1(3(2x + -4) + -2X)

Reorder the terms:
20 + -10x = -5 + -1(3(-4 + 2x) + -2X)
20 + -10x = -5 + -1((-4 * 3 + 2x * 3) + -2X)
20 + -10x = -5 + -1((-12 + 6x) + -2X)

Reorder the terms:
20 + -10x = -5 + -1(-12 + -2X + 6x)
20 + -10x = -5 + (-12 * -1 + -2X * -1 + 6x * -1)
20 + -10x = -5 + (12 + 2X + -6x)

Combine like terms: -5 + 12 = 7
20 + -10x = 7 + 2X + -6x

Solving
20 + -10x = 7 + 2X + -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.
20 + -10x + 6x = 7 + 2X + -6x + 6x

Combine like terms: -10x + 6x = -4x
20 + -4x = 7 + 2X + -6x + 6x

Combine like terms: -6x + 6x = 0
20 + -4x = 7 + 2X + 0
20 + -4x = 7 + 2X

Add '-20' to each side of the equation.
20 + -20 + -4x = 7 + -20 + 2X

Combine like terms: 20 + -20 = 0
0 + -4x = 7 + -20 + 2X
-4x = 7 + -20 + 2X

Combine like terms: 7 + -20 = -13
-4x = -13 + 2X

Divide each side by '-4'.
x = 3.25 + -0.5X

Simplifying
x = 3.25 + -0.5X

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