3x-7+(10-(5-3x)+8)=1

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


Simplifying
3x + -7 + (10 + -1(5 + -3x) + 8) = 1
3x + -7 + (10 + (5 * -1 + -3x * -1) + 8) = 1
3x + -7 + (10 + (-5 + 3x) + 8) = 1

Reorder the terms:
3x + -7 + (10 + -5 + 8 + 3x) = 1

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

Combine like terms: 5 + 8 = 13
3x + -7 + (13 + 3x) = 1

Remove parenthesis around (13 + 3x)
3x + -7 + 13 + 3x = 1

Reorder the terms:
-7 + 13 + 3x + 3x = 1

Combine like terms: -7 + 13 = 6
6 + 3x + 3x = 1

Combine like terms: 3x + 3x = 6x
6 + 6x = 1

Solving
6 + 6x = 1

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 6x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 1 + -6
6x = 1 + -6

Combine like terms: 1 + -6 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333

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