Question 647947
Original equation: {{{5t-2(t+2)>8}}}

Step 1: Distribute '-2' to everything in the parenthesis

{{{5t-2(t+2)>8}}}
{{{5t-2t - 4>8}}}

Step 2: Combine like terms

{{{5t-2t - 4>8}}}
{{{3t - 4>8}}}

Step 3: Add '4' to both sides to get '3t' by itself

{{{3t - 4>8}}}
{{{3t >12}}}

Step 4: Divide '3' to both sides to get 't' by itself

{{{3t >12}}}
{{{t >4}}}

Since you divided by a positive number, the inequality sign does not change.

The answer is {{{t >4}}}