# How do you solve #(3t)/2+7=4t-3#?

##### 2 Answers

See full solution process below:

#### Explanation:

First, multiply each side of the equation by

Next, add and subtract the necessary terms from each side of the equation to isolate the

Now, divide each side of the equation by

#### Explanation:

We can 'eliminate' the fraction in the equation by multiplying ALL terms on both sides by 2, the denominator of the fraction term.

#(cancel(2)xx(3t)/cancel(2))+(2xx7)=(2xx4t)-(2xx3)#

#rArr3t+14=8t-6# subtract 8t from both sides.

#3t-8t+14=cancel(8t)cancel(-8t)-6#

#rArr-5t+14=-6# subtract 14 from both sides.

#-5tcancel(+14)cancel(-14)=-6-14#

#rArr-5t=-20# To solve for t, divide both sides by - 5

#(cancel(-5) t)/cancel(-5)=(-20)/(-5)#

#rArrt=4" is the solution"#