Chapter 1 - Equations and Inequalities - 1.1 Linear Equations - 1.1 Exercises - Page 93: 58

$x=-\dfrac{3k+1}{5k+2}$

Work Step by Step

$-x=(5x+3)(3k+1)$ Evaluate the product on the right side: $-x=15kx+5x+9k+3$ Take all terms with $x$ to the left side: $-x-15kx-5x=9k+3$ Simplify the left side: $-6x-15kx=9k+3$ Take out common factor $x$ from the left side: $x(-6-15k)=9k+3$ Take $-6-15k$ to divide the right side: $x=\dfrac{9k+3}{-6-15k}$ Simplify the right side: $x=-\dfrac{3(3k+1)}{3(5k+2)}$ $x=-\dfrac{3k+1}{5k+2}$

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