5x+6=3(2x-1)

Solution for 5x+6=3(2x-1) equation:

Simplifying
5x + 6 = 3(2x + -1)

Reorder the terms:
6 + 5x = 3(2x + -1)

Reorder the terms:
6 + 5x = 3(-1 + 2x)
6 + 5x = (-1 * 3 + 2x * 3)
6 + 5x = (-3 + 6x)

Solving
6 + 5x = -3 + 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 + 5x + -6x = -3 + 6x + -6x

Combine like terms: 5x + -6x = -1x
6 + -1x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -1x = -3 + 0
6 + -1x = -3

Add '-6' to each side of the equation.
6 + -6 + -1x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -3 + -6
-1x = -3 + -6

Combine like terms: -3 + -6 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9