document.write( "Question 1208287: 4/3x-1/3=x+7 \n" ); document.write( "

Algebra.Com's Answer #846613 by ikleyn(52779) $\"\"$ $\"About$

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document.write( "      Your starting equation is \r\n" );
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document.write( "           -  = x + 7.    (1)\r\n" );
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document.write( "      In my previous post I solved this equation keeping the fractions\r\n" );
document.write( "      and manipulating fractions to the last point, where I multiplied equation \r\n" );
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document.write( "           = 7 \r\n" );
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document.write( "      by 3 and got the answer x = 22.\r\n" );
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document.write( "Another way is to multiply equation (1) by 3 from the very beginning\r\n" );
document.write( "to rid of the denominator.  Doing it, we get equation\r\n" );
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document.write( "    4x - 1 = 3x + 21.\r\n" );
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document.write( "Now move 3x from right side to left side changing the sign;\r\n" );
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document.write( "    move -1 from left side to right side changing the sign.\r\n" );
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document.write( "You will get\r\n" );
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document.write( "    4x - 3x = 21 + 1.\r\n" );
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document.write( "Combine like term in each side\r\n" );
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document.write( "       x    =    22.\r\n" );
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document.write( "Thus you got the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "So, these two ways, one from my previous post and other which is above, are equivalent.\r
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\n" ); document.write( "\n" ); document.write( "They both produce the same answer. \r
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\n" ); document.write( "\n" ); document.write( "You may choose any one from these two, which you like more.\r
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\n" ); document.write( "\n" ); document.write( "For mature student, these ways are the same, and the choice is the matter of taste.\r
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\n" ); document.write( "\n" ); document.write( "If you want to learn on how to solve simple and simplest linear equations, read the lesson\r
\n" ); document.write( "\n" ); document.write( " - HOW TO solve a linear equation\r
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\n" ); document.write( "\n" ); document.write( "Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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