7-2x-(-x+4)=3+x-(x-3)

Solution for 7-2x-(-x+4)=3+x-(x-3) equation:

Simplifying
7 + -2x + -1(-1x + 4) = 3 + x + -1(x + -3)

Reorder the terms:
7 + -2x + -1(4 + -1x) = 3 + x + -1(x + -3)
7 + -2x + (4 * -1 + -1x * -1) = 3 + x + -1(x + -3)
7 + -2x + (-4 + 1x) = 3 + x + -1(x + -3)

Reorder the terms:
7 + -4 + -2x + 1x = 3 + x + -1(x + -3)

Combine like terms: 7 + -4 = 3
3 + -2x + 1x = 3 + x + -1(x + -3)

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

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

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

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

Combine like terms: x + -1x = 0
3 + -1x = 6 + 0
3 + -1x = 6

Solving
3 + -1x = 6

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 6 + -3
-1x = 6 + -3

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

Divide each side by '-1'.
x = -3

Simplifying
x = -3