Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 14, 2023

Solve for $t$ in the equation $18=3(2+t)$ .

STEP 1

Assumptions
1. We are given the equation $18=3(2+t)$ .
2. We need to solve for the variable $t$ .

STEP 2

First, we need to distribute the multiplication of 3 across the terms inside the parentheses.
$18 = 3 \cdot 2 + 3 \cdot t$

STEP 3

Perform the multiplication.
$18 = 6 + 3t$

STEP 4

Next, we will isolate the term containing $t$ by subtracting 6 from both sides of the equation.
$18 - 6 = 6 + 3t - 6$

STEP 5

Simplify both sides of the equation.
$12 = 3t$

STEP 6

Now, to solve for $t$ , we will divide both sides of the equation by 3.
$\frac{12}{3} = \frac{3t}{3}$

STEP 7

Simplify the division to find the value of $t$ .
$4 = t$
The solution to the equation $18=3(2+t)$ is $t=4$ .

Was this helpful?

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Contact Influencer program Policy Terms