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

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

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

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

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

Reorder the terms:
-6 + 3x = 3 + -1 + -1x

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

Solving
-6 + 3x = 2 + -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 + 3x + x = 2 + -1x + x

Combine like terms: 3x + x = 4x
-6 + 4x = 2 + -1x + x

Combine like terms: -1x + x = 0
-6 + 4x = 2 + 0
-6 + 4x = 2

Add '6' to each side of the equation.
-6 + 6 + 4x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 2 + 6
4x = 2 + 6

Combine like terms: 2 + 6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2