-[11x-(3x+7)]=-4-[4(3x-4)-2x]

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Solution for -[11x-(3x+7)]=-4-[4(3x-4)-2x] equation:


Simplifying
-1[11x + -1(3x + 7)] = -4 + -1[4(3x + -4) + -2x]

Reorder the terms:
-1[11x + -1(7 + 3x)] = -4 + -1[4(3x + -4) + -2x]
-1[11x + (7 * -1 + 3x * -1)] = -4 + -1[4(3x + -4) + -2x]
-1[11x + (-7 + -3x)] = -4 + -1[4(3x + -4) + -2x]

Reorder the terms:
-1[-7 + 11x + -3x] = -4 + -1[4(3x + -4) + -2x]

Combine like terms: 11x + -3x = 8x
-1[-7 + 8x] = -4 + -1[4(3x + -4) + -2x]
[-7 * -1 + 8x * -1] = -4 + -1[4(3x + -4) + -2x]
[7 + -8x] = -4 + -1[4(3x + -4) + -2x]

Reorder the terms:
7 + -8x = -4 + -1[4(-4 + 3x) + -2x]
7 + -8x = -4 + -1[(-4 * 4 + 3x * 4) + -2x]
7 + -8x = -4 + -1[(-16 + 12x) + -2x]

Combine like terms: 12x + -2x = 10x
7 + -8x = -4 + -1[-16 + 10x]
7 + -8x = -4 + [-16 * -1 + 10x * -1]
7 + -8x = -4 + [16 + -10x]

Combine like terms: -4 + 16 = 12
7 + -8x = 12 + -10x

Solving
7 + -8x = 12 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
7 + -8x + 10x = 12 + -10x + 10x

Combine like terms: -8x + 10x = 2x
7 + 2x = 12 + -10x + 10x

Combine like terms: -10x + 10x = 0
7 + 2x = 12 + 0
7 + 2x = 12

Add '-7' to each side of the equation.
7 + -7 + 2x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 12 + -7
2x = 12 + -7

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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