16x-6=3(5x+3)-3

Solution for 16x-6=3(5x+3)-3 equation:

Simplifying
16x + -6 = 3(5x + 3) + -3

Reorder the terms:
-6 + 16x = 3(5x + 3) + -3

Reorder the terms:
-6 + 16x = 3(3 + 5x) + -3
-6 + 16x = (3 * 3 + 5x * 3) + -3
-6 + 16x = (9 + 15x) + -3

Reorder the terms:
-6 + 16x = 9 + -3 + 15x

Combine like terms: 9 + -3 = 6
-6 + 16x = 6 + 15x

Solving
-6 + 16x = 6 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-6 + 16x + -15x = 6 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-6 + 1x = 6 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

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

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

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12