4[(3r-1)]+5(r-1)-7(r-1)=x(r-1)

Solution for 4[(3r-1)]+5(r-1)-7(r-1)=x(r-1) equation:

Simplifying
4[3r + -1] + 5(r + -1) + -7(r + -1) = x(r + -1)

Reorder the terms:
4[-1 + 3r] + 5(r + -1) + -7(r + -1) = x(r + -1)
[-1 * 4 + 3r * 4] + 5(r + -1) + -7(r + -1) = x(r + -1)
[-4 + 12r] + 5(r + -1) + -7(r + -1) = x(r + -1)

Reorder the terms:
-4 + 12r + 5(-1 + r) + -7(r + -1) = x(r + -1)
-4 + 12r + (-1 * 5 + r * 5) + -7(r + -1) = x(r + -1)
-4 + 12r + (-5 + 5r) + -7(r + -1) = x(r + -1)

Reorder the terms:
-4 + 12r + -5 + 5r + -7(-1 + r) = x(r + -1)
-4 + 12r + -5 + 5r + (-1 * -7 + r * -7) = x(r + -1)
-4 + 12r + -5 + 5r + (7 + -7r) = x(r + -1)

Reorder the terms:
-4 + -5 + 7 + 12r + 5r + -7r = x(r + -1)

Combine like terms: -4 + -5 = -9
-9 + 7 + 12r + 5r + -7r = x(r + -1)

Combine like terms: -9 + 7 = -2
-2 + 12r + 5r + -7r = x(r + -1)

Combine like terms: 12r + 5r = 17r
-2 + 17r + -7r = x(r + -1)

Combine like terms: 17r + -7r = 10r
-2 + 10r = x(r + -1)

Reorder the terms:
-2 + 10r = x(-1 + r)
-2 + 10r = (-1 * x + r * x)

Reorder the terms:
-2 + 10r = (rx + -1x)
-2 + 10r = (rx + -1x)

Solving
-2 + 10r = rx + -1x

Solving for variable 'r'.

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

Add '-1rx' to each side of the equation.
-2 + 10r + -1rx = rx + -1rx + -1x

Combine like terms: rx + -1rx = 0
-2 + 10r + -1rx = 0 + -1x
-2 + 10r + -1rx = -1x

Add '2' to each side of the equation.
-2 + 10r + 2 + -1rx = 2 + -1x

Reorder the terms:
-2 + 2 + 10r + -1rx = 2 + -1x

Combine like terms: -2 + 2 = 0
0 + 10r + -1rx = 2 + -1x
10r + -1rx = 2 + -1x

Reorder the terms:
-2 + 10r + -1rx + x = 2 + -1x + -2 + x

Reorder the terms:
-2 + 10r + -1rx + x = 2 + -2 + -1x + x

Combine like terms: 2 + -2 = 0
-2 + 10r + -1rx + x = 0 + -1x + x
-2 + 10r + -1rx + x = -1x + x

Combine like terms: -1x + x = 0
-2 + 10r + -1rx + x = 0

The solution to this equation could not be determined.