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

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

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

Reorder the terms:
6(1 + 2x) = 3(x + -7)
(1 * 6 + 2x * 6) = 3(x + -7)
(6 + 12x) = 3(x + -7)

Reorder the terms:
6 + 12x = 3(-7 + x)
6 + 12x = (-7 * 3 + x * 3)
6 + 12x = (-21 + 3x)

Solving
6 + 12x = -21 + 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.
6 + 12x + -3x = -21 + 3x + -3x

Combine like terms: 12x + -3x = 9x
6 + 9x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 9x = -21 + 0
6 + 9x = -21

Add '-6' to each side of the equation.
6 + -6 + 9x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -21 + -6
9x = -21 + -6

Combine like terms: -21 + -6 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3