10+(9-(8+(7-x)))=6-5(4+3(2-(x+1)))

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Solution for 10+(9-(8+(7-x)))=6-5(4+3(2-(x+1))) equation: 


Simplifying
10 + (9 + -1(8 + (7 + -1x))) = 6 + -5(4 + 3(2 + -1(x + 1)))

Remove parenthesis around (7 + -1x)
10 + (9 + -1(8 + 7 + -1x)) = 6 + -5(4 + 3(2 + -1(x + 1)))

Combine like terms: 8 + 7 = 15
10 + (9 + -1(15 + -1x)) = 6 + -5(4 + 3(2 + -1(x + 1)))
10 + (9 + (15 * -1 + -1x * -1)) = 6 + -5(4 + 3(2 + -1(x + 1)))
10 + (9 + (-15 + 1x)) = 6 + -5(4 + 3(2 + -1(x + 1)))

Combine like terms: 9 + -15 = -6
10 + (-6 + 1x) = 6 + -5(4 + 3(2 + -1(x + 1)))

Remove parenthesis around (-6 + 1x)
10 + -6 + 1x = 6 + -5(4 + 3(2 + -1(x + 1)))

Combine like terms: 10 + -6 = 4
4 + 1x = 6 + -5(4 + 3(2 + -1(x + 1)))

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

Combine like terms: 2 + -1 = 1
4 + 1x = 6 + -5(4 + 3(1 + -1x))
4 + 1x = 6 + -5(4 + (1 * 3 + -1x * 3))
4 + 1x = 6 + -5(4 + (3 + -3x))

Combine like terms: 4 + 3 = 7
4 + 1x = 6 + -5(7 + -3x)
4 + 1x = 6 + (7 * -5 + -3x * -5)
4 + 1x = 6 + (-35 + 15x)

Combine like terms: 6 + -35 = -29
4 + 1x = -29 + 15x

Solving
4 + 1x = -29 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
4 + 1x + -15x = -29 + 15x + -15x

Combine like terms: 1x + -15x = -14x
4 + -14x = -29 + 15x + -15x

Combine like terms: 15x + -15x = 0
4 + -14x = -29 + 0
4 + -14x = -29

Add '-4' to each side of the equation.
4 + -4 + -14x = -29 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = -29 + -4
-14x = -29 + -4

Combine like terms: -29 + -4 = -33
-14x = -33

Divide each side by '-14'.
x = 2.357142857

Simplifying
x = 2.357142857

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