7x-[5x+3-(2x+1)-10]=-(-x+3)

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Solution for 7x-[5x+3-(2x+1)-10]=-(-x+3) equation:


Simplifying
7x + -1[5x + 3 + -1(2x + 1) + -10] = -1(-1x + 3)

Reorder the terms:
7x + -1[5x + 3 + -1(1 + 2x) + -10] = -1(-1x + 3)
7x + -1[5x + 3 + (1 * -1 + 2x * -1) + -10] = -1(-1x + 3)
7x + -1[5x + 3 + (-1 + -2x) + -10] = -1(-1x + 3)

Reorder the terms:
7x + -1[3 + -1 + -10 + 5x + -2x] = -1(-1x + 3)

Combine like terms: 3 + -1 = 2
7x + -1[2 + -10 + 5x + -2x] = -1(-1x + 3)

Combine like terms: 2 + -10 = -8
7x + -1[-8 + 5x + -2x] = -1(-1x + 3)

Combine like terms: 5x + -2x = 3x
7x + -1[-8 + 3x] = -1(-1x + 3)
7x + [-8 * -1 + 3x * -1] = -1(-1x + 3)
7x + [8 + -3x] = -1(-1x + 3)

Reorder the terms:
8 + 7x + -3x = -1(-1x + 3)

Combine like terms: 7x + -3x = 4x
8 + 4x = -1(-1x + 3)

Reorder the terms:
8 + 4x = -1(3 + -1x)
8 + 4x = (3 * -1 + -1x * -1)
8 + 4x = (-3 + 1x)

Solving
8 + 4x = -3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 4x + -1x = -3 + 1x + -1x

Combine like terms: 4x + -1x = 3x
8 + 3x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
8 + 3x = -3 + 0
8 + 3x = -3

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

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

Combine like terms: -3 + -8 = -11
3x = -11

Divide each side by '3'.
x = -3.666666667

Simplifying
x = -3.666666667

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