-[3x-(13x+8)]=8+(9x+1)

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Solution for -[3x-(13x+8)]=8+(9x+1) equation:


Simplifying
-1[3x + -1(13x + 8)] = 8 + (9x + 1)

Reorder the terms:
-1[3x + -1(8 + 13x)] = 8 + (9x + 1)
-1[3x + (8 * -1 + 13x * -1)] = 8 + (9x + 1)
-1[3x + (-8 + -13x)] = 8 + (9x + 1)

Reorder the terms:
-1[-8 + 3x + -13x] = 8 + (9x + 1)

Combine like terms: 3x + -13x = -10x
-1[-8 + -10x] = 8 + (9x + 1)
[-8 * -1 + -10x * -1] = 8 + (9x + 1)
[8 + 10x] = 8 + (9x + 1)

Reorder the terms:
8 + 10x = 8 + (1 + 9x)

Remove parenthesis around (1 + 9x)
8 + 10x = 8 + 1 + 9x

Combine like terms: 8 + 1 = 9
8 + 10x = 9 + 9x

Solving
8 + 10x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
8 + 10x + -9x = 9 + 9x + -9x

Combine like terms: 10x + -9x = 1x
8 + 1x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0
8 + 1x = 9 + 0
8 + 1x = 9

Add '-8' to each side of the equation.
8 + -8 + 1x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 9 + -8
1x = 9 + -8

Combine like terms: 9 + -8 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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