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

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

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

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

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

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

Solving
6 + -2x = -6 + 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 + -2x + -2x = -6 + 2x + -2x

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

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

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

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

Combine like terms: -6 + -6 = -12
-4x = -12

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

Simplifying
x = 3