Pergunta
3-2 cdot(x-3)=18 1) 4 cdot(x-1)-2 cdot(2 x+4)=6 1. 3 cdot(2 x-5)=9-2 x m) y+4=-15 n) 3 x+9=12 a) 10-4 x=9+2 x
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LuizProfissional · Tutor por 6 anos
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Let's solve each equation step by step:<br /><br />1. \( 3-2 \cdot(x-3)=18 \)<br /><br />First, distribute the -2:<br />\[ 3 - 2x + 6 = 18 \]<br /><br />Combine like terms:<br />\[ 9 - 2x = 18 \]<br /><br />Subtract 9 from both sides:<br />\[ -2x = 9 \]<br /><br />Divide by -2:<br />\[ x = -\frac{9}{2} \]<br /><br />2. \( 10.4 \cdot(x-1)-2 \cdot(2 x+4)=6 \)<br /><br />First, distribute the 10.4 and the -2:<br />\[ 10.4x - 10.4 - 4x - 8 = 6 \]<br /><br />Combine like terms:<br />\[ 6.4x - 18 = 6 \]<br /><br />Add 18 to both sides:<br />\[ 6.4x = 24 \]<br /><br />Divide by 6.4:<br />\[ x = 3.75 \]<br /><br />3. \( 3 \cdot(2 x-5)=9-2 x \)<br /><br />First, distribute the 3:<br />\[ 6x - 15 = 9 - 2x \]<br /><br />Add 2x to both sides:<br />\[ 8x - 15 = 9 \]<br /><br />Add 15 to both sides:<br />\[ 8x = 24 \]<br /><br />Divide by 8:<br />\[ x = 3 \]<br /><br />4. \( m \mid y+4=-15 \)<br /><br />This equation is not clear. Please provide more context or correct the equation.<br /><br />5. \( 3x + 9 = 12 \)<br /><br />Subtract 9 from both sides:<br />\[ 3x = 3 \]<br /><br />Divide by 3:<br />\[ x = 1 \]<br /><br />6. \( 10 - 4x = 9 + 2x \)<br /><br />Add 4x to both sides:<br />\[ 10 = 9 + 6x \]<br /><br />Subtract 9 from both sides:<br />\[ 1 = 6x \]<br /><br />Divide by 6:<br />\[ x = \frac{1}{6} \]<br /><br />Please let me know if you need further clarification on any of the equations.
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