document.write( "Question 53776: Can someone help me on this problem?\r
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document.write( " I need to solve the following equation for x, and show proof.\r
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document.write( " 3x - 5(3x -7) = 2(x+9) + 45\r
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document.write( " Thanks,
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Algebra.Com's Answer #36021 by jenrobrody(19)![]() ![]() ![]() You can put this solution on YOUR website! 3x - 5(3x -7) = 2(x+9) + 45\r \n" ); document.write( "\n" ); document.write( "Distribute: 3x -5(3x) -5(-7) = 2(x) + 2(9) +45 \n" ); document.write( "simplify: 3x - 15x + 35 = 2x +18 + 45 \n" ); document.write( "combine like terms: -12x + 35 = 2x + 63 \n" ); document.write( "add 12x to both sides: 35 = 2x + 12x + 63 \n" ); document.write( "combine like terms: 35 = 14x +63 \n" ); document.write( "subtract 63; 35 - 63 = 14x + 63 -63 \n" ); document.write( "simplify: -28 = 14x \n" ); document.write( "divide by 14: -2 = x\r \n" ); document.write( "\n" ); document.write( "check: \n" ); document.write( " 3(-2) - 5(3(-2)-7) = 2((-2)+9) + 45 ? \n" ); document.write( " -6 - 5(-6 - 7) = 2( 7 ) + 45 ? \n" ); document.write( " -6 - 5( -13) = 14 + 45 ? \n" ); document.write( " -6 + 65 = 59 ? \n" ); document.write( " 59 = 59 \n" ); document.write( " |