6x-5=3(x+2)

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

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

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

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

Solving
-5 + 6x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 6x + -3x = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5 + 3x = 6 + 0
-5 + 3x = 6

Add '5' to each side of the equation.
-5 + 5 + 3x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 6 + 5
3x = 6 + 5

Combine like terms: 6 + 5 = 11
3x = 11

Divide each side by '3'.
x = 3.666666667

Simplifying
x = 3.666666667