2(5x+8)=3(4x-2)

Solution for 2(5x+8)=3(4x-2) equation:

Simplifying
2(5x + 8) = 3(4x + -2)

Reorder the terms:
2(8 + 5x) = 3(4x + -2)
(8 * 2 + 5x * 2) = 3(4x + -2)
(16 + 10x) = 3(4x + -2)

Reorder the terms:
16 + 10x = 3(-2 + 4x)
16 + 10x = (-2 * 3 + 4x * 3)
16 + 10x = (-6 + 12x)

Solving
16 + 10x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
16 + 10x + -12x = -6 + 12x + -12x

Combine like terms: 10x + -12x = -2x
16 + -2x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -2x = -6 + 0
16 + -2x = -6

Add '-16' to each side of the equation.
16 + -16 + -2x = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -6 + -16
-2x = -6 + -16

Combine like terms: -6 + -16 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11