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3x - 5(3x-7) = 2(x+9)+ 45
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\n" ); document.write( "Mult what's inside the brackets, remember if you have a negative outside the
\n" ); document.write( "brackets you change the signs inside the brackets:
\n" ); document.write( "3x - 15x + 35 = 2x + 18 + 45
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\n" ); document.write( "Perform the operations necessary to get the variables (x) on the left and the numbers on the right
\n" ); document.write( "Subtract 35 from both sides:
\n" ); document.write( "3x - 15x = 2x + 18 + 45 - 35
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\n" ); document.write( "Subtract 2x from both sides, do the math on the right:
\n" ); document.write( "3x - 15x - 2x = 28
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\n" ); document.write( "Do the math on the x's
\n" ); document.write( "-14x = 28
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\n" ); document.write( "We want x to be positive, mult eq by -1, changes all the signs
\n" ); document.write( "+14x = -28
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\n" ); document.write( "Divide both sides by 14 and you have:
\n" ); document.write( "x = -28/14
\n" ); document.write( "x = -2
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\n" ); document.write( "Check our solution in the original equation, substitute -2 for x:
\n" ); document.write( "3x - 5(3x-7) = 2(x+9) + 45
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\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 confirms our solution \n" ); document.write( "