3(x-2)+5x=3-x

Solution for 3(x-2)+5x=3-x equation:

Simplifying
3(x + -2) + 5x = 3 + -1x

Reorder the terms:
3(-2 + x) + 5x = 3 + -1x
(-2 * 3 + x * 3) + 5x = 3 + -1x
(-6 + 3x) + 5x = 3 + -1x

Combine like terms: 3x + 5x = 8x
-6 + 8x = 3 + -1x

Solving
-6 + 8x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 8x + x = 3 + -1x + x

Combine like terms: 8x + x = 9x
-6 + 9x = 3 + -1x + x

Combine like terms: -1x + x = 0
-6 + 9x = 3 + 0
-6 + 9x = 3

Add '6' to each side of the equation.
-6 + 6 + 9x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 3 + 6
9x = 3 + 6

Combine like terms: 3 + 6 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1