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

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

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

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

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

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

Reorder the terms:
6 + 6x = 2(-5 + x)
6 + 6x = (-5 * 2 + x * 2)
6 + 6x = (-10 + 2x)

Solving
6 + 6x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 6x + -2x = -10 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = -10 + 0
6 + 4x = -10

Add '-6' to each side of the equation.
6 + -6 + 4x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -10 + -6
4x = -10 + -6

Combine like terms: -10 + -6 = -16
4x = -16

Divide each side by '4'.
x = -4

Simplifying
x = -4