7x-6=3(2x+1)

Solution for 7x-6=3(2x+1) equation:

Simplifying
7x + -6 = 3(2x + 1)

Reorder the terms:
-6 + 7x = 3(2x + 1)

Reorder the terms:
-6 + 7x = 3(1 + 2x)
-6 + 7x = (1 * 3 + 2x * 3)
-6 + 7x = (3 + 6x)

Solving
-6 + 7x = 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 + 7x + -6x = 3 + 6x + -6x

Combine like terms: 7x + -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