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

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

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

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

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

Reorder the terms:
6 + 2x = -5 + -1 + 5x

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

Solving
6 + 2x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -6 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -3x = -6 + 0
6 + -3x = -6

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

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

Combine like terms: -6 + -6 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4