Question 259356
<pre><font size = 4 color = "indigo"><b>
{{{"6(t+5)"=48}}}

means:

{{{6*(t+5)=48}}}

Use the distributive principle to remove the parentheses:

{{{6*t+6*5=48}}}

Six times five is thirty, so you put {{{30}}} in place of {{{6*5}}}

{{{6t+30=48}}}

Subtract 30 from both sides:

{{{6t+30-30=48-30}}}

Erase {{{"+30-30"}}} since that is zero
Replace {{{48-30}}} with {{{18}}}

{{{6t=18}}}

Divide both sides by {{{6}}}

{{{(6t)/6=18/6}}}

Cancel the {{{6}}}'s on the left and divide the {{{18}}} by the {{{6}}} on the right,
so replace {{{18/6}}} by {{{3}}}:

{{{(cross(6)t)/cross(6)=3}}}

{{{t=3}}}

That's the answer.  To check it, we substitute {{{3}}} for {{{t}}}
in the original equation:

{{{6*(t+5)=48}}}
{{{6*((3)+5)=48}}}
{{{6*(3+5)=48}}}
{{{6*(8)=48}}}
{{{6*8=48}}}
{{{48=48}}}

Both sides are the same so we know the answer is correct.

Edwin</pre>