6x-2-4(4x+16)=3x-12

Solution for 6x-2-4(4x+16)=3x-12 equation:

Simplifying
6x + -2 + -4(4x + 16) = 3x + -12

Reorder the terms:
6x + -2 + -4(16 + 4x) = 3x + -12
6x + -2 + (16 * -4 + 4x * -4) = 3x + -12
6x + -2 + (-64 + -16x) = 3x + -12

Reorder the terms:
-2 + -64 + 6x + -16x = 3x + -12

Combine like terms: -2 + -64 = -66
-66 + 6x + -16x = 3x + -12

Combine like terms: 6x + -16x = -10x
-66 + -10x = 3x + -12

Reorder the terms:
-66 + -10x = -12 + 3x

Solving
-66 + -10x = -12 + 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.
-66 + -10x + -3x = -12 + 3x + -3x

Combine like terms: -10x + -3x = -13x
-66 + -13x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-66 + -13x = -12 + 0
-66 + -13x = -12

Add '66' to each side of the equation.
-66 + 66 + -13x = -12 + 66

Combine like terms: -66 + 66 = 0
0 + -13x = -12 + 66
-13x = -12 + 66

Combine like terms: -12 + 66 = 54
-13x = 54

Divide each side by '-13'.
x = -4.153846154

Simplifying
x = -4.153846154