-3x+5x=(x+3)-(x+9)

Solution for -3x+5x=(x+3)-(x+9) equation:

Simplifying
-3x + 5x = (x + 3) + -1(x + 9)

Combine like terms: -3x + 5x = 2x
2x = (x + 3) + -1(x + 9)

Reorder the terms:
2x = (3 + x) + -1(x + 9)

Remove parenthesis around (3 + x)
2x = 3 + x + -1(x + 9)

Reorder the terms:
2x = 3 + x + -1(9 + x)
2x = 3 + x + (9 * -1 + x * -1)
2x = 3 + x + (-9 + -1x)

Reorder the terms:
2x = 3 + -9 + x + -1x

Combine like terms: 3 + -9 = -6
2x = -6 + x + -1x

Combine like terms: x + -1x = 0
2x = -6 + 0
2x = -6

Solving
2x = -6

Solving for variable 'x'.

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

Divide each side by '2'.
x = -3

Simplifying
x = -3