7(1-7x)-1=6x-2(x-3)

Solution for 7(1-7x)-1=6x-2(x-3) equation:

Simplifying
7(1 + -7x) + -1 = 6x + -2(x + -3)
(1 * 7 + -7x * 7) + -1 = 6x + -2(x + -3)
(7 + -49x) + -1 = 6x + -2(x + -3)

Reorder the terms:
7 + -1 + -49x = 6x + -2(x + -3)

Combine like terms: 7 + -1 = 6
6 + -49x = 6x + -2(x + -3)

Reorder the terms:
6 + -49x = 6x + -2(-3 + x)
6 + -49x = 6x + (-3 * -2 + x * -2)
6 + -49x = 6x + (6 + -2x)

Reorder the terms:
6 + -49x = 6 + 6x + -2x

Combine like terms: 6x + -2x = 4x
6 + -49x = 6 + 4x

Add '-6' to each side of the equation.
6 + -6 + -49x = 6 + -6 + 4x

Combine like terms: 6 + -6 = 0
0 + -49x = 6 + -6 + 4x
-49x = 6 + -6 + 4x

Combine like terms: 6 + -6 = 0
-49x = 0 + 4x
-49x = 4x

Solving
-49x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-49x + -4x = 4x + -4x

Combine like terms: -49x + -4x = -53x
-53x = 4x + -4x

Combine like terms: 4x + -4x = 0
-53x = 0

Divide each side by '-53'.
x = 0

Simplifying
x = 0