7(1-8x)-1=-3(5x-2)

Solution for 7(1-8x)-1=-3(5x-2) equation:

Simplifying
7(1 + -8x) + -1 = -3(5x + -2)
(1 * 7 + -8x * 7) + -1 = -3(5x + -2)
(7 + -56x) + -1 = -3(5x + -2)

Reorder the terms:
7 + -1 + -56x = -3(5x + -2)

Combine like terms: 7 + -1 = 6
6 + -56x = -3(5x + -2)

Reorder the terms:
6 + -56x = -3(-2 + 5x)
6 + -56x = (-2 * -3 + 5x * -3)
6 + -56x = (6 + -15x)

Add '-6' to each side of the equation.
6 + -6 + -56x = 6 + -6 + -15x

Combine like terms: 6 + -6 = 0
0 + -56x = 6 + -6 + -15x
-56x = 6 + -6 + -15x

Combine like terms: 6 + -6 = 0
-56x = 0 + -15x
-56x = -15x

Solving
-56x = -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-56x + 15x = -15x + 15x

Combine like terms: -56x + 15x = -41x
-41x = -15x + 15x

Combine like terms: -15x + 15x = 0
-41x = 0

Divide each side by '-41'.
x = 0

Simplifying
x = 0