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Simplifying Ln(3x + 1) + -1(x + 5) = 0 Reorder the terms: nL(1 + 3x) + -1(x + 5) = 0 (1 * nL + 3x * nL) + -1(x + 5) = 0 (1nL + 3nxL) + -1(x + 5) = 0 Reorder the terms: 1nL + 3nxL + -1(5 + x) = 0 1nL + 3nxL + (5 * -1 + x * -1) = 0 1nL + 3nxL + (-5 + -1x) = 0 Reorder the terms: -5 + 1nL + 3nxL + -1x = 0 Solving -5 + 1nL + 3nxL + -1x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 1nL + 3nxL + 5 + -1x = 0 + 5 Reorder the terms: -5 + 5 + 1nL + 3nxL + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1nL + 3nxL + -1x = 0 + 5 1nL + 3nxL + -1x = 0 + 5 Combine like terms: 0 + 5 = 5 1nL + 3nxL + -1x = 5 Add 'x' to each side of the equation. 1nL + 3nxL + -1x + x = 5 + x Combine like terms: -1x + x = 0 1nL + 3nxL + 0 = 5 + x 1nL + 3nxL = 5 + x Reorder the terms: -5 + 1nL + 3nxL + -1x = 5 + x + -5 + -1x Reorder the terms: -5 + 1nL + 3nxL + -1x = 5 + -5 + x + -1x Combine like terms: 5 + -5 = 0 -5 + 1nL + 3nxL + -1x = 0 + x + -1x -5 + 1nL + 3nxL + -1x = x + -1x Combine like terms: x + -1x = 0 -5 + 1nL + 3nxL + -1x = 0 The solution to this equation could not be determined.
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