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

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

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

Reorder the terms:
2(3 + 2x) = 3(-2x + 8)
(3 * 2 + 2x * 2) = 3(-2x + 8)
(6 + 4x) = 3(-2x + 8)

Reorder the terms:
6 + 4x = 3(8 + -2x)
6 + 4x = (8 * 3 + -2x * 3)
6 + 4x = (24 + -6x)

Solving
6 + 4x = 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 + 4x + 6x = 24 + -6x + 6x

Combine like terms: 4x + 6x = 10x
6 + 10x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 10x = 24 + 0
6 + 10x = 24

Add '-6' to each side of the equation.
6 + -6 + 10x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 24 + -6
10x = 24 + -6

Combine like terms: 24 + -6 = 18
10x = 18

Divide each side by '10'.
x = 1.8

Simplifying
x = 1.8