Answer: [tex]t=\frac{8w-3}{-4w+5}[/tex]
Step-by-step explanation:
Ok let's solve for t
[tex]5t+3=4w(t+2)\\[/tex]
First let's use the distributive property
[tex]5t+3=(4w)(t)=(4w)(2)\\5t+3=4tw+8w[/tex]
Now let's subtract 4tw to both sides
[tex]5t+3-4tw=4tw+8w-4tw\\-4tw+5t+3=8w[/tex]
Next we'll subtract 3 on both sides
[tex]-4tw+5t+3-3=8w-3\\-4tw+5t=8w-3[/tex]
We can now factor out the variable t
[tex]t(-4w+5)=8w-3[/tex]
Now we can divide both sides by -4w+5 giving us our answer
[tex]\frac{t(-4w+5)}{-4w+5} =\frac{8w-3}{-4w+5} \\t=\frac{8w-3}{-4w+5}[/tex]
