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

Solution for 5+2(3x-1)=3-(3-x) equation:

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

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

Combine like terms: 5 + -2 = 3
3 + 6x = 3 + -1(3 + -1x)
3 + 6x = 3 + (3 * -1 + -1x * -1)
3 + 6x = 3 + (-3 + 1x)

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

Solving
3 + 6x = 1x

Solving for variable 'x'.

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

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

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

Combine like terms: 1x + -1x = 0
3 + 5x = 0

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6