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Simplifying 4(s + 2) + 2(x + 4) = 8x + 5 Reorder the terms: 4(2 + s) + 2(x + 4) = 8x + 5 (2 * 4 + s * 4) + 2(x + 4) = 8x + 5 (8 + 4s) + 2(x + 4) = 8x + 5 Reorder the terms: 8 + 4s + 2(4 + x) = 8x + 5 8 + 4s + (4 * 2 + x * 2) = 8x + 5 8 + 4s + (8 + 2x) = 8x + 5 Reorder the terms: 8 + 8 + 4s + 2x = 8x + 5 Combine like terms: 8 + 8 = 16 16 + 4s + 2x = 8x + 5 Reorder the terms: 16 + 4s + 2x = 5 + 8x Solving 16 + 4s + 2x = 5 + 8x Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 4s + -16 + 2x = 5 + -16 + 8x Reorder the terms: 16 + -16 + 4s + 2x = 5 + -16 + 8x Combine like terms: 16 + -16 = 0 0 + 4s + 2x = 5 + -16 + 8x 4s + 2x = 5 + -16 + 8x Combine like terms: 5 + -16 = -11 4s + 2x = -11 + 8x Add '-2x' to each side of the equation. 4s + 2x + -2x = -11 + 8x + -2x Combine like terms: 2x + -2x = 0 4s + 0 = -11 + 8x + -2x 4s = -11 + 8x + -2x Combine like terms: 8x + -2x = 6x 4s = -11 + 6x Divide each side by '4'. s = -2.75 + 1.5x Simplifying s = -2.75 + 1.5x
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