(8x+3)-(-x-7)=(4x+1)+(x-3)

Solution for (8x+3)-(-x-7)=(4x+1)+(x-3) equation:

Simplifying
(8x + 3) + -1(-1x + -7) = (4x + 1) + (x + -3)

Reorder the terms:
(3 + 8x) + -1(-1x + -7) = (4x + 1) + (x + -3)

Remove parenthesis around (3 + 8x)
3 + 8x + -1(-1x + -7) = (4x + 1) + (x + -3)

Reorder the terms:
3 + 8x + -1(-7 + -1x) = (4x + 1) + (x + -3)
3 + 8x + (-7 * -1 + -1x * -1) = (4x + 1) + (x + -3)
3 + 8x + (7 + 1x) = (4x + 1) + (x + -3)

Reorder the terms:
3 + 7 + 8x + 1x = (4x + 1) + (x + -3)

Combine like terms: 3 + 7 = 10
10 + 8x + 1x = (4x + 1) + (x + -3)

Combine like terms: 8x + 1x = 9x
10 + 9x = (4x + 1) + (x + -3)

Reorder the terms:
10 + 9x = (1 + 4x) + (x + -3)

Remove parenthesis around (1 + 4x)
10 + 9x = 1 + 4x + (x + -3)

Reorder the terms:
10 + 9x = 1 + 4x + (-3 + x)

Remove parenthesis around (-3 + x)
10 + 9x = 1 + 4x + -3 + x

Reorder the terms:
10 + 9x = 1 + -3 + 4x + x

Combine like terms: 1 + -3 = -2
10 + 9x = -2 + 4x + x

Combine like terms: 4x + x = 5x
10 + 9x = -2 + 5x

Solving
10 + 9x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + 9x + -5x = -2 + 5x + -5x

Combine like terms: 9x + -5x = 4x
10 + 4x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + 4x = -2 + 0
10 + 4x = -2

Add '-10' to each side of the equation.
10 + -10 + 4x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -2 + -10
4x = -2 + -10

Combine like terms: -2 + -10 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3