(2x+6)=12(4x-3)

Solution for (2x+6)=12(4x-3) equation:

Simplifying
(2x + 6) = 12(4x + -3)

Reorder the terms:
(6 + 2x) = 12(4x + -3)

Remove parenthesis around (6 + 2x)
6 + 2x = 12(4x + -3)

Reorder the terms:
6 + 2x = 12(-3 + 4x)
6 + 2x = (-3 * 12 + 4x * 12)
6 + 2x = (-36 + 48x)

Solving
6 + 2x = -36 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
6 + 2x + -48x = -36 + 48x + -48x

Combine like terms: 2x + -48x = -46x
6 + -46x = -36 + 48x + -48x

Combine like terms: 48x + -48x = 0
6 + -46x = -36 + 0
6 + -46x = -36

Add '-6' to each side of the equation.
6 + -6 + -46x = -36 + -6

Combine like terms: 6 + -6 = 0
0 + -46x = -36 + -6
-46x = -36 + -6

Combine like terms: -36 + -6 = -42
-46x = -42

Divide each side by '-46'.
x = 0.9130434783

Simplifying
x = 0.9130434783