document.write( "Question 93078: solve and check the linear equation 6x-7+3(x+1)=4x-6 \n" ); document.write( "

Algebra.Com's Answer #67726 by tutorcecilia(2152) $\"\"$ $\"About$

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6x-7+3(x+1)=4x-6
\n" ); document.write( "6x-7+3x+3=4x-6 [multiply using the distributive property]
\n" ); document.write( "9x-4=4x-6 [combine like-terms]
\n" ); document.write( "9x-4x-4=4x-4x-6 [isolate the variable to one side of the equation]
\n" ); document.write( "5x-4=-6
\n" ); document.write( "5x-4+4=-6+4
\n" ); document.write( "5x=-2
\n" ); document.write( " $\"%285x%2F5%29\"$ = $\"%28-2%2F5%29\"$
\n" ); document.write( "x= $\"-%282%2F5%29\"$
\n" ); document.write( ".
\n" ); document.write( "Checking:
\n" ); document.write( "6(-2/5)-7+3((-2/5)+1=4(-2/5)-6 [substitute x= $\"%28-2%2F5%29\"$ for the x-term and solve]
\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( "-7.5=-7.5 [checks out]
\n" ); document.write( " \n" ); document.write( "

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