Chapter 7 - Section 7.4 - Adding and Subtracting Rational Expressions with Different Denominators - Exercise Set - Page 517: 73

$-\frac{15}{2}$

Work Step by Step

$4(x+6)+3=-3$ $4x+24+3=-3$ $4x+27=-3$ $4x=-3-27$ $4x=-30$ $x=-\frac{30}{4}=-\frac{15}{2}$ Check: $4(-\frac{15}{2}+6)+3=-3$ $4(\frac{-15+2(6)}{2})+3=-3$ $4(\frac{-15+12}{2})+3=-3$ $4(\frac{-3}{2})+3=-3$ $2(-3)+3=-3$ $-6+3=-3$ $-3=-3$ $0=0$ Therefore, the solution checks out.

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