Hey!
Here is the equation:
[tex] 4(t-2)+ 2t - 4 = 2(9-2t) [/tex]
First remove the parentheses and multiply everything. Now it becomes:
[tex] 4t - 8 + 2t - 4 = 18 - 4t [/tex]
Combine all the terms with variables(like terms). It becomes:
[tex] 6t - 12 = 18 - 4t [/tex]
Add 4t to each side so you can move the variable. It becomes:
[tex] 10t - 12 = 18 [/tex]
Add 12 to each side to leave the variable alone. It becomes:
[tex] 10t = 30 [/tex]
At last, divide both sides by 10 to leave the variable by itself.
[tex] \frac{10t}{10} = \frac{30}{10} [/tex]
Divide:
[tex] \framebox{t = 3} [/tex]