Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 27, 2024

Solve the linear equation $7x = 9x + 3$ for the value of $x$ .

STEP 1

Assumptions
1. We are given the linear equation $7x = 9x + 3$ .
2. We need to solve for the variable $x$ .

STEP 2

To solve for $x$ , we want to isolate $x$ on one side of the equation. We can start by subtracting $9x$ from both sides of the equation to move all the $x$ terms to one side.
$7x - 9x = 9x + 3 - 9x$

STEP 3

Perform the subtraction on both sides of the equation.
$-2x = 3$

STEP 4

Now, to solve for $x$ , we need to divide both sides of the equation by the coefficient of $x$ , which is $-2$ .
$\frac{-2x}{-2} = \frac{3}{-2}$

STEP 5

Perform the division to solve for $x$ .
$x = -\frac{3}{2}$
The solution to the equation $7x = 9x + 3$ is $x = -\frac{3}{2}$ .

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