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

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

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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + 8x = -6 + 6 + 18x
8x = -6 + 6 + 18x

Combine like terms: -6 + 6 = 0
8x = 0 + 18x
8x = 18x

Solving
8x = 18x

Solving for variable 'x'.

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

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

Combine like terms: 8x + -18x = -10x
-10x = 18x + -18x

Combine like terms: 18x + -18x = 0
-10x = 0

Divide each side by '-10'.
x = 0.0

Simplifying
x = 0.0