3(6x+2)=2(5x-4+8x)

Solution for 3(6x+2)=2(5x-4+8x) equation:

Simplifying
3(6x + 2) = 2(5x + -4 + 8x)

Reorder the terms:
3(2 + 6x) = 2(5x + -4 + 8x)
(2 * 3 + 6x * 3) = 2(5x + -4 + 8x)
(6 + 18x) = 2(5x + -4 + 8x)

Reorder the terms:
6 + 18x = 2(-4 + 5x + 8x)

Combine like terms: 5x + 8x = 13x
6 + 18x = 2(-4 + 13x)
6 + 18x = (-4 * 2 + 13x * 2)
6 + 18x = (-8 + 26x)

Solving
6 + 18x = -8 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
6 + 18x + -26x = -8 + 26x + -26x

Combine like terms: 18x + -26x = -8x
6 + -8x = -8 + 26x + -26x

Combine like terms: 26x + -26x = 0
6 + -8x = -8 + 0
6 + -8x = -8

Add '-6' to each side of the equation.
6 + -6 + -8x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -8 + -6
-8x = -8 + -6

Combine like terms: -8 + -6 = -14
-8x = -14

Divide each side by '-8'.
x = 1.75

Simplifying
x = 1.75