Simplifying
8(x + 6) + -10 + r = 3(x + 12) + 5x
Reorder the terms:
8(6 + x) + -10 + r = 3(x + 12) + 5x
(6 * 8 + x * 8) + -10 + r = 3(x + 12) + 5x
(48 + 8x) + -10 + r = 3(x + 12) + 5x
Reorder the terms:
48 + -10 + r + 8x = 3(x + 12) + 5x
Combine like terms: 48 + -10 = 38
38 + r + 8x = 3(x + 12) + 5x
Reorder the terms:
38 + r + 8x = 3(12 + x) + 5x
38 + r + 8x = (12 * 3 + x * 3) + 5x
38 + r + 8x = (36 + 3x) + 5x
Combine like terms: 3x + 5x = 8x
38 + r + 8x = 36 + 8x
Add '-8x' to each side of the equation.
38 + r + 8x + -8x = 36 + 8x + -8x
Combine like terms: 8x + -8x = 0
38 + r + 0 = 36 + 8x + -8x
38 + r = 36 + 8x + -8x
Combine like terms: 8x + -8x = 0
38 + r = 36 + 0
38 + r = 36
Solving
38 + r = 36
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-38' to each side of the equation.
38 + -38 + r = 36 + -38
Combine like terms: 38 + -38 = 0
0 + r = 36 + -38
r = 36 + -38
Combine like terms: 36 + -38 = -2
r = -2
Simplifying
r = -2
