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

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

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

Reorder the terms:
2(-4 + 2x) + -3(5 + -2x) = 3(2x + 5)
(-4 * 2 + 2x * 2) + -3(5 + -2x) = 3(2x + 5)
(-8 + 4x) + -3(5 + -2x) = 3(2x + 5)
-8 + 4x + (5 * -3 + -2x * -3) = 3(2x + 5)
-8 + 4x + (-15 + 6x) = 3(2x + 5)

Reorder the terms:
-8 + -15 + 4x + 6x = 3(2x + 5)

Combine like terms: -8 + -15 = -23
-23 + 4x + 6x = 3(2x + 5)

Combine like terms: 4x + 6x = 10x
-23 + 10x = 3(2x + 5)

Reorder the terms:
-23 + 10x = 3(5 + 2x)
-23 + 10x = (5 * 3 + 2x * 3)
-23 + 10x = (15 + 6x)

Solving
-23 + 10x = 15 + 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.
-23 + 10x + -6x = 15 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-23 + 4x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-23 + 4x = 15 + 0
-23 + 4x = 15

Add '23' to each side of the equation.
-23 + 23 + 4x = 15 + 23

Combine like terms: -23 + 23 = 0
0 + 4x = 15 + 23
4x = 15 + 23

Combine like terms: 15 + 23 = 38
4x = 38

Divide each side by '4'.
x = 9.5

Simplifying
x = 9.5