3(1-4x)-1(2X-1)2(2)=7

Solution for 3(1-4x)-1(2X-1)2(2)=7 equation:

Simplifying
3(1 + -4x) + -1(2X + -1) * 2(2) = 7
(1 * 3 + -4x * 3) + -1(2X + -1) * 2(2) = 7
(3 + -12x) + -1(2X + -1) * 2(2) = 7

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

Reorder the terms for easier multiplication:
3 + -12x + -1 * 2 * 2(-1 + 2X) = 7

Multiply -1 * 2
3 + -12x + -2 * 2(-1 + 2X) = 7

Multiply -2 * 2
3 + -12x + -4(-1 + 2X) = 7
3 + -12x + (-1 * -4 + 2X * -4) = 7
3 + -12x + (4 + -8X) = 7

Reorder the terms:
3 + 4 + -8X + -12x = 7

Combine like terms: 3 + 4 = 7
7 + -8X + -12x = 7

Add '-7' to each side of the equation.
7 + -8X + -7 + -12x = 7 + -7

Reorder the terms:
7 + -7 + -8X + -12x = 7 + -7

Combine like terms: 7 + -7 = 0
0 + -8X + -12x = 7 + -7
-8X + -12x = 7 + -7

Combine like terms: 7 + -7 = 0
-8X + -12x = 0

Solving
-8X + -12x = 0

Solving for variable 'X'.

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

Add '12x' to each side of the equation.
-8X + -12x + 12x = 0 + 12x

Combine like terms: -12x + 12x = 0
-8X + 0 = 0 + 12x
-8X = 0 + 12x
Remove the zero:
-8X = 12x

Divide each side by '-8'.
X = -1.5x

Simplifying
X = -1.5x