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
