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

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

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

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

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

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

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

Reorder the terms:
-6 + -1x = -2 + -1 + 2x

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

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

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + -1x + -2x = -3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + -3x = -3 + 0
-6 + -3x = -3

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

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

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

Divide each side by '-3'.
x = -1

Simplifying
x = -1