4 (x-3) - r+2x=5 (3x-7) - 9x

4 (x + - 3) + - 1r + 2x = 5 (3x + - 7) + - 9x

Reorder the terms:

4 (-3 + x) + - 1r + 2x = 5 (3x + - 7) + - 9x

(-3 * 4 + x * 4) + - 1r + 2x = 5 (3x + - 7) + - 9x

(-12 + 4x) + - 1r + 2x = 5 (3x + - 7) + - 9x

Reorder the terms:

-12 + - 1r + 4x + 2x = 5 (3x + - 7) + - 9x

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

-12 + - 1r + 6x = 5 (3x + - 7) + - 9x

Reorder the terms:

-12 + - 1r + 6x = 5 (-7 + 3x) + - 9x

-12 + - 1r + 6x = (-7 * 5 + 3x * 5) + - 9x

-12 + - 1r + 6x = (-35 + 15x) + - 9x

Combine like terms: 15x + - 9x = 6x

-12 + - 1r + 6x = - 35 + 6x

Add '-6x' to each side of the equation.

-12 + - 1r + 6x + - 6x = - 35 + 6x + - 6x

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

-12 + - 1r + 0 = - 35 + 6x + - 6x

-12 + - 1r = - 35 + 6x + - 6x

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

-12 + - 1r = - 35 + 0

-12 + - 1r = - 35

Solving

-12 + - 1r = - 35

Solving for variable 'r'.

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

Add '12' to each side of the equation.

-12 + 12 + - 1r = - 35 + 12

Combine like terms: - 12 + 12 = 0

0 + - 1r = - 35 + 12

-1r = - 35 + 12

Combine like terms: - 35 + 12 = - 23

-1r = - 23

Divide each side by '-1'.

r = 23

result

r = 23