-[10x-(19x+3)]=3+(8x+1)

Solution for -[10x-(19x+3)]=3+(8x+1) equation:

Simplifying
-1[10x + -1(19x + 3)] = 3 + (8x + 1)

Reorder the terms:
-1[10x + -1(3 + 19x)] = 3 + (8x + 1)
-1[10x + (3 * -1 + 19x * -1)] = 3 + (8x + 1)
-1[10x + (-3 + -19x)] = 3 + (8x + 1)

Reorder the terms:
-1[-3 + 10x + -19x] = 3 + (8x + 1)

Combine like terms: 10x + -19x = -9x
-1[-3 + -9x] = 3 + (8x + 1)
[-3 * -1 + -9x * -1] = 3 + (8x + 1)
[3 + 9x] = 3 + (8x + 1)

Reorder the terms:
3 + 9x = 3 + (1 + 8x)

Remove parenthesis around (1 + 8x)
3 + 9x = 3 + 1 + 8x

Combine like terms: 3 + 1 = 4
3 + 9x = 4 + 8x

Solving
3 + 9x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 9x + -8x = 4 + 8x + -8x

Combine like terms: 9x + -8x = 1x
3 + 1x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 1x = 4 + 0
3 + 1x = 4

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

Combine like terms: 3 + -3 = 0
0 + 1x = 4 + -3
1x = 4 + -3

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

Divide each side by '1'.
x = 1

Simplifying
x = 1