Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 15, 2023

Solve the linear equation $10+5x=-10$ for $x$ .

STEP 1

Assumptions
1. We are given a linear equation $10 + 5x = -10$ .
2. We need to solve for the variable $x$ .

STEP 2

To isolate the variable $x$ , we first need to move the constant term on the left side of the equation to the right side. We do this by subtracting $10$ from both sides of the equation.
$10 + 5x - 10 = -10 - 10$

STEP 3

Simplify both sides of the equation.
$5x = -20$

STEP 4

Now, to solve for $x$ , we need to divide both sides of the equation by the coefficient of $x$ , which is $5$ .
$\frac{5x}{5} = \frac{-20}{5}$

STEP 5

Simplify both sides of the equation to find the value of $x$ .
$x = -4$
The solution to the linear equation $10 + 5x = -10$ is $x = -4$ .

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