document.write( "Question 85332: Solve. –6(x + 3) – 10 = 3(–2x – 5) – 13
\n" ); document.write( "Here is what I ahve
\n" ); document.write( "-6(3 + x) + -10 = 3(-2x + -5) + -13
\n" ); document.write( "(3 * -6 + x * -6) + -10 = 3(-2x + -5) + -13
\n" ); document.write( "(-18 + -6x) + -10 = 3(-2x + -5) + -13
\n" ); document.write( "-18 + -10 + -6x = 3(-2x + -5) + -13
\n" ); document.write( "-18 + -10 = -28
\n" ); document.write( "-28 + -6x = 3(-2x + -5) + -13
\n" ); document.write( "-28 + -6x = 3(-5 + -2x) + -13
\n" ); document.write( "-28 + -6x = (-5 * 3 + -2x * 3) + -13
\n" ); document.write( "-28 + -6x = (-15 + -6x) + -13
\n" ); document.write( "-28 + -6x = -15 + -13 + -6x
\n" ); document.write( "-15 + -13 = -28
\n" ); document.write( "-28 + -6x = -28 + -6x
\n" ); document.write( "-28 + 28 + -6x = -28 + 28 + -6x
\n" ); document.write( "-28 + 28 = 0
\n" ); document.write( "0 + -6x = -28 + 28 + -6x
\n" ); document.write( "-6x = -28 + 28 + -6x
\n" ); document.write( "-28 + 28 = 0
\n" ); document.write( "-6x = 0 + -6x
\n" ); document.write( "-6x = -6x
\n" ); document.write( "-6x + 6x = -6x + 6x
\n" ); document.write( "-6x + 6x = 0
\n" ); document.write( "0 = -6x + 6x
\n" ); document.write( "-6x + 6x = 0
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #61522 by mszlmb(115) $\"\"$ $\"About$

You can put this solution on YOUR website!

Distribute\r\n" );
document.write( "add 28 to both sides\r\n" );
document.write( "Divide by negative one\r\n" );
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document.write( "This means that for this particular equation, x can be ANY value.\r\n" );
document.write( "The domain is (-infinity, infinity)\r\n" );
document.write( "Any X value will satisfy the equation above ^_^\r\n" );
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document.write( "For example, x can equal (any number, even) one:\r\n" );
document.write( "-6(1+3)-10=3(-2(1)-5)-13\r\n" );
document.write( "-6(4)-10=3(-7)-13\r\n" );
document.write( "-24-10=-21-13\r\n" );
document.write( "-34=-34  Thus the equation is satisfied.\r\n" );
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document.write( "Another example:  X=0 (note please that all values of x will satisfy this equation)\r\n" );
document.write( "-6(0+3)-10=3(-2(0)-5)-13\r\n" );
document.write( "-6(3)-10=3(-5)-13\r\n" );
document.write( "-28=-28\r\n" );
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