6+(x-4)=3-(1-3)

Solution for 6+(x-4)=3-(1-3) equation:

Simplifying
6 + (x + -4) = 3 + -1(1 + -3)

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

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

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

Combine like terms: 1 + -3 = -2
2 + x = 3 + -1(-2)

Multiply -1 * -2
2 + x = 3 + 2

Combine like terms: 3 + 2 = 5
2 + x = 5

Solving
2 + x = 5

Solving for variable 'x'.

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

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

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

Combine like terms: 5 + -2 = 3
x = 3

Simplifying
x = 3