Question

Can I please get help with solving this equation? I need help finding the value of r...step by step understanding plz??

5(x-4)+4+r=4(x+3)+x

Answer 1

Simplifying 5(x + -4) + 4 + r = 4(x + 3) + x Reorder the terms: 5(-4 + x) + 4 + r = 4(x + 3) + x (-4 * 5 + x * 5) + 4 + r = 4(x + 3) + x (-20 + 5x) + 4 + r = 4(x + 3) + x Reorder the terms: -20 + 4 + r + 5x = 4(x + 3) + x Combine like terms: -20 + 4 = -16 -16 + r + 5x = 4(x + 3) + x Reorder the terms: -16 + r + 5x = 4(3 + x) + x -16 + r + 5x = (3 * 4 + x * 4) + x -16 + r + 5x = (12 + 4x) + x Combine like terms: 4x + x = 5x -16 + r + 5x = 12 + 5x Add '-5x' to each side of the equation. -16 + r + 5x + -5x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + r + 0 = 12 + 5x + -5x -16 + r = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + r = 12 + 0 -16 + r = 12 Solving -16 + r = 12 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + r = 12 + 16 Combine like terms: -16 + 16 = 0 0 + r = 12 + 16 r = 12 + 16 Combine like terms: 12 + 16 = 28 r = 28 Simplifying r = 28