2x-(10-3x+(x-5)-8)=-(2x+6)

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Solution for 2x-(10-3x+(x-5)-8)=-(2x+6) equation:


Simplifying
2x + -1(10 + -3x + (x + -5) + -8) = -1(2x + 6)

Reorder the terms:
2x + -1(10 + -3x + (-5 + x) + -8) = -1(2x + 6)

Remove parenthesis around (-5 + x)
2x + -1(10 + -3x + -5 + x + -8) = -1(2x + 6)

Reorder the terms:
2x + -1(10 + -5 + -8 + -3x + x) = -1(2x + 6)

Combine like terms: 10 + -5 = 5
2x + -1(5 + -8 + -3x + x) = -1(2x + 6)

Combine like terms: 5 + -8 = -3
2x + -1(-3 + -3x + x) = -1(2x + 6)

Combine like terms: -3x + x = -2x
2x + -1(-3 + -2x) = -1(2x + 6)
2x + (-3 * -1 + -2x * -1) = -1(2x + 6)
2x + (3 + 2x) = -1(2x + 6)

Reorder the terms:
3 + 2x + 2x = -1(2x + 6)

Combine like terms: 2x + 2x = 4x
3 + 4x = -1(2x + 6)

Reorder the terms:
3 + 4x = -1(6 + 2x)
3 + 4x = (6 * -1 + 2x * -1)
3 + 4x = (-6 + -2x)

Solving
3 + 4x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
3 + 4x + 2x = -6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
3 + 6x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 6x = -6 + 0
3 + 6x = -6

Add '-3' to each side of the equation.
3 + -3 + 6x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = -6 + -3
6x = -6 + -3

Combine like terms: -6 + -3 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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