Question

Linear Equations

4(t-2) + 2t -4 = 2(9-2t)

Answer 1

Hey!

Here is the equation:

`4(t-2)+ 2t - 4 = 2(9-2t)`

First remove the parentheses and multiply everything. Now it becomes:

`4t - 8 + 2t - 4 = 18 - 4t`

Combine all the terms with variables(like terms). It becomes:

`6t - 12 = 18 - 4t`

Add 4t to each side so you can move the variable. It becomes:

`10t - 12 = 18`

Add 12 to each side to leave the variable alone. It becomes:

`10t = 30`

At last, divide both sides by 10 to leave the variable by itself.

`(10t)/(10) = (30)/(10)`

Divide:

`\framebox{t = 3}`