2(x+3)-3(4x-5)=5

Solution for 2(x+3)-3(4x-5)=5 equation:

Simplifying
2(x + 3) + -3(4x + -5) = 5

Reorder the terms:
2(3 + x) + -3(4x + -5) = 5
(3 * 2 + x * 2) + -3(4x + -5) = 5
(6 + 2x) + -3(4x + -5) = 5

Reorder the terms:
6 + 2x + -3(-5 + 4x) = 5
6 + 2x + (-5 * -3 + 4x * -3) = 5
6 + 2x + (15 + -12x) = 5

Reorder the terms:
6 + 15 + 2x + -12x = 5

Combine like terms: 6 + 15 = 21
21 + 2x + -12x = 5

Combine like terms: 2x + -12x = -10x
21 + -10x = 5

Solving
21 + -10x = 5

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -10x = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = 5 + -21
-10x = 5 + -21

Combine like terms: 5 + -21 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6