Question 752119
{{{ -8*(4+9x)=7*(-2-11x) }}}
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This problem is an example of 
the associative rule.
The general rule is:
{{{ a*( b + c ) = a*b + a *c }}}
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{{{ -8*4 -8*9x = -14 -77x }}}
Now divide each term on the left
and each term on the right by {{{ -1 }}}
The general rule for this is:
{{{ -a/(-1) = a }}}
{{{ 32 + 72x = 14 + 77x }}}
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Now subtract {{{ 72x }}} from both sides
{{{ 32 + 72x - 72x = 14 + 77x - 72x }}}
{{{ 32 = 14 + 5x }}}
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Subtract {{{ 14 }}} from both sides
{{{ 32 - 14 = 14 - 14 + 5x }}}
{{{ 18 = 5x }}}
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Now divide both sides by {{{ 5 }}}
{{{ 18/5 = (5x)/5 }}}
{{{ 18/5 = x }}}
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You can check this answer:
{{{ -8*(4+9x)=7*(-2-11x) }}}
{{{ -8*(4+9*(18/5))=7*(-2-11*(18/5)) }}}
{{{ -8*( 4 + 162/5 ) = 7*( -2 - 198/5 ) }}}
{{{ -32 - 1296/5 = -14 - 1386/5 }}}
Multiply both sides by {{{ 5 }}}
{{{ -160 - 1296 = -70 - 1386 }}}
{{{ -1456 = -1456 }}}
OK
You don't have to follow this check exactly-
you should know that it's possible to check
your solutions
Good luck