(3-4x)-x=2x(3-4x)

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

Simplifying
(3 + -4x) + -1x = 2x(3 + -4x)

Remove parenthesis around (3 + -4x)
3 + -4x + -1x = 2x(3 + -4x)

Combine like terms: -4x + -1x = -5x
3 + -5x = 2x(3 + -4x)
3 + -5x = (3 * 2x + -4x * 2x)
3 + -5x = (6x + -8x2)

Solving
3 + -5x = 6x + -8x2

Solving for variable 'x'.

Combine like terms: -5x + -6x = -11x
3 + -11x + 8x2 = 6x + -8x2 + -6x + 8x2

Reorder the terms:
3 + -11x + 8x2 = 6x + -6x + -8x2 + 8x2

Combine like terms: 6x + -6x = 0
3 + -11x + 8x2 = 0 + -8x2 + 8x2
3 + -11x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
3 + -11x + 8x2 = 0

Factor a trinomial.
(3 + -8x)(1 + -1x) = 0

Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.375, 1}