2(3-4x)=-1+3(2-5x)-4(2x)

Solution for 2(3-4x)=-1+3(2-5x)-4(2x) equation:

Simplifying
2(3 + -4x) = -1 + 3(2 + -5x) + -4(2x)
(3 * 2 + -4x * 2) = -1 + 3(2 + -5x) + -4(2x)
(6 + -8x) = -1 + 3(2 + -5x) + -4(2x)
6 + -8x = -1 + (2 * 3 + -5x * 3) + -4(2x)
6 + -8x = -1 + (6 + -15x) + -4(2x)

Remove parenthesis around (2x)
6 + -8x = -1 + 6 + -15x + -4 * 2x

Multiply -4 * 2
6 + -8x = -1 + 6 + -15x + -8x

Combine like terms: -1 + 6 = 5
6 + -8x = 5 + -15x + -8x

Combine like terms: -15x + -8x = -23x
6 + -8x = 5 + -23x

Solving
6 + -8x = 5 + -23x

Solving for variable 'x'.

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

Add '23x' to each side of the equation.
6 + -8x + 23x = 5 + -23x + 23x

Combine like terms: -8x + 23x = 15x
6 + 15x = 5 + -23x + 23x

Combine like terms: -23x + 23x = 0
6 + 15x = 5 + 0
6 + 15x = 5

Add '-6' to each side of the equation.
6 + -6 + 15x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 15x = 5 + -6
15x = 5 + -6

Combine like terms: 5 + -6 = -1
15x = -1

Divide each side by '15'.
x = -0.06666666667

Simplifying
x = -0.06666666667