document.write( "Question 265329: Variables on both sides? Can someone expain to me how to solve this? I'm trying to help my daughter with her home work and am not familar with this.\r
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document.write( "Probem:
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document.write( "7x-1=-5+3x\r
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document.write( "Thanks \n" );
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Algebra.Com's Answer #195116 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Problem: \n" ); document.write( "7x - 1 = -5 + 3x \n" ); document.write( ": \n" ); document.write( "Perform the necessary operations (+,-,/*) on both sides of the equation to get the unknown (x) on one side by itself, usually on the left but doesn't have to be \n" ); document.write( "7x - 1 = -5 + 3x \n" ); document.write( "Subtract 3x from both sides \n" ); document.write( "7x - 3x - 1 = -5 + 3x - 3x \n" ); document.write( ": \n" ); document.write( "which is \n" ); document.write( "4x - 1 = -5 + 0 \n" ); document.write( "; \n" ); document.write( "or just \n" ); document.write( "4x - 1 = -5 \n" ); document.write( "; \n" ); document.write( "add 1 to both sides \n" ); document.write( "4x - 1 + 1 = -5 + 1 \n" ); document.write( "4x + 0 = -4 \n" ); document.write( "; \n" ); document.write( "or just \n" ); document.write( "4x = -4 \n" ); document.write( ": \n" ); document.write( "Divide both sides by 4 \n" ); document.write( " \n" ); document.write( "1x = -1 \n" ); document.write( "or just \n" ); document.write( "x = -1 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution by substituting for x in the original equation \n" ); document.write( "7x - 1 = -5 + 3x \n" ); document.write( "7(-1) - 1 = -5 + 3(-1) \n" ); document.write( "do the math \n" ); document.write( "-7 - 1 = -5 - 3 \n" ); document.write( "which is \n" ); document.write( "-8 = -8, equality confirms our solution of x = -1 \n" ); document.write( " |