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

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

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

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

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

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

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

Solving
-5 + 6x = 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.
-5 + 6x + x = 3 + -1x + x

Combine like terms: 6x + x = 7x
-5 + 7x = 3 + -1x + x

Combine like terms: -1x + x = 0
-5 + 7x = 3 + 0
-5 + 7x = 3

Add '5' to each side of the equation.
-5 + 5 + 7x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 3 + 5
7x = 3 + 5

Combine like terms: 3 + 5 = 8
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143