8 (x+6) - 10+r=3 (x+12) + 5x

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