2(x-3)=3(2x+8)

Solution for 2(x-3)=3(2x+8) equation:

Simplifying
2(x + -3) = 3(2x + 8)

Reorder the terms:
2(-3 + x) = 3(2x + 8)
(-3 * 2 + x * 2) = 3(2x + 8)
(-6 + 2x) = 3(2x + 8)

Reorder the terms:
-6 + 2x = 3(8 + 2x)
-6 + 2x = (8 * 3 + 2x * 3)
-6 + 2x = (24 + 6x)

Solving
-6 + 2x = 24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 2x + -6x = 24 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-6 + -4x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -4x = 24 + 0
-6 + -4x = 24

Add '6' to each side of the equation.
-6 + 6 + -4x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -4x = 24 + 6
-4x = 24 + 6

Combine like terms: 24 + 6 = 30
-4x = 30

Divide each side by '-4'.
x = -7.5

Simplifying
x = -7.5