-[8x-(3x+2)]=-5-[3(3x-4)-2x]

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Solution for -[8x-(3x+2)]=-5-[3(3x-4)-2x] equation:


Simplifying
-1[8x + -1(3x + 2)] = -5 + -1[3(3x + -4) + -2x]

Reorder the terms:
-1[8x + -1(2 + 3x)] = -5 + -1[3(3x + -4) + -2x]
-1[8x + (2 * -1 + 3x * -1)] = -5 + -1[3(3x + -4) + -2x]
-1[8x + (-2 + -3x)] = -5 + -1[3(3x + -4) + -2x]

Reorder the terms:
-1[-2 + 8x + -3x] = -5 + -1[3(3x + -4) + -2x]

Combine like terms: 8x + -3x = 5x
-1[-2 + 5x] = -5 + -1[3(3x + -4) + -2x]
[-2 * -1 + 5x * -1] = -5 + -1[3(3x + -4) + -2x]
[2 + -5x] = -5 + -1[3(3x + -4) + -2x]

Reorder the terms:
2 + -5x = -5 + -1[3(-4 + 3x) + -2x]
2 + -5x = -5 + -1[(-4 * 3 + 3x * 3) + -2x]
2 + -5x = -5 + -1[(-12 + 9x) + -2x]

Combine like terms: 9x + -2x = 7x
2 + -5x = -5 + -1[-12 + 7x]
2 + -5x = -5 + [-12 * -1 + 7x * -1]
2 + -5x = -5 + [12 + -7x]

Combine like terms: -5 + 12 = 7
2 + -5x = 7 + -7x

Solving
2 + -5x = 7 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + -5x + 7x = 7 + -7x + 7x

Combine like terms: -5x + 7x = 2x
2 + 2x = 7 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 2x = 7 + 0
2 + 2x = 7

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

Combine like terms: 2 + -2 = 0
0 + 2x = 7 + -2
2x = 7 + -2

Combine like terms: 7 + -2 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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