document.write( "Question 638056: 5(x-4)-1=-7x+3 what does x equal? \n" ); document.write( "
Algebra.Com's Answer #402000 by josh_jordan(263)\"\" \"About 
You can put this solution on YOUR website!
To solve this equation, use the distributive property to multiply 5 by (x-4):\r
\n" ); document.write( "\n" ); document.write( "5(x-4) = 5x - 20\r
\n" ); document.write( "\n" ); document.write( "You will then have:\r
\n" ); document.write( "\n" ); document.write( "5x - 20 - 1 = -7x + 3\r
\n" ); document.write( "\n" ); document.write( "Combine -20 and -1 by adding:\r
\n" ); document.write( "\n" ); document.write( "5x - 21 = -7x + 3\r
\n" ); document.write( "\n" ); document.write( "Now, you want to get x all by itself, so to do that, subtract 5x from both sides of the equal sign:\r
\n" ); document.write( "\n" ); document.write( "-5x + 5x - 21 = -7x - 5x + 3\r
\n" ); document.write( "\n" ); document.write( "Combine like terms on both sides:\r
\n" ); document.write( "\n" ); document.write( "-21 = -12x + 3\r
\n" ); document.write( "\n" ); document.write( "We still want to get x all by itself, so we will subtract 3 to both sides of our equation:\r
\n" ); document.write( "\n" ); document.write( "-3 - 21 = -12x + 3 - 3\r
\n" ); document.write( "\n" ); document.write( "Combine like terms:\r
\n" ); document.write( "\n" ); document.write( "-24 = -12x\r
\n" ); document.write( "\n" ); document.write( "To get the x by itself once and for all, divide both sides of the equation by -12:\r
\n" ); document.write( "\n" ); document.write( "-24/-12 = -12x / -12\r
\n" ); document.write( "\n" ); document.write( "2 = x\r
\n" ); document.write( "\n" ); document.write( "So, x = 2\r
\n" ); document.write( "\n" ); document.write( "To check this answer, just substitute 2 for x in your equation:\r
\n" ); document.write( "\n" ); document.write( "5(2-4)-1=-7(2)+3\r
\n" ); document.write( "\n" ); document.write( "5(-2)-1=-14+3\r
\n" ); document.write( "\n" ); document.write( "-10 - 1 = -11\r
\n" ); document.write( "\n" ); document.write( "-11 = -11\r
\n" ); document.write( "\n" ); document.write( "Since both sides of the equal sign are the same, x = 2 works, and is our final answer\r
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