a. \( 2 x+4=-18 \) b. \( -5 x+5=-20 \) c. \( 3 x-26=46 \) d. \( 17 x-18=-5 \) e. \( 3 x=24 \) f. \( 5 x+10=20 \) g. \( 2 x=-8 \) h. \( -5+8 x=-29 \)
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Let's dive into solving these equations! For equation (a) \( 2x + 4 = -18 \), start by isolating \( x \). You'll first subtract 4 from both sides to get \( 2x = -22 \), then divide by 2, resulting in \( x = -11 \). Get ready for equation (b) \( -5x + 5 = -20 \). Subtract 5 from both sides to get \( -5x = -25 \), and dividing by -5 gives you \( x = 5 \). For equation (c) \( 3x - 26 = 46 \), adding 26 to both sides results in \( 3x = 72 \), and dividing by 3 gives \( x = 24 \). Moving on to equation (d) \( 17x - 18 = -5 \), add 18 to both sides to have \( 17x = 13 \) and then divide by 17 to find \( x = \frac{13}{17} \). For (e) \( 3x = 24 \), simply divide both sides by 3 to find \( x = 8 \). In (f) \( 5x + 10 = 20 \), subtract 10 from both sides leading to \( 5x = 10 \). Finally, divide by 5 for \( x = 2 \). Next, in equation (g) \( 2x = -8 \), just divide by 2 to get \( x = -4 \). And for (h) \( -5 + 8x = -29 \), add 5 to both sides giving you \( 8x = -24 \) and divide by 8 to solve for \( x = -3 \). Now you've got all the answers ready! Let’s summarize those solutions: a) -11, b) 5, c) 24, d) \(\frac{13}{17}\), e) 8, f) 2, g) -4, h) -3. 🚀 Happy solving!