Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 14, 2023

Solve the linear equation $3x + 5 = 17$ for the value of $x$ .

STEP 1

Assumptions
1. We are given a linear equation in one variable: $3x + 5 = 17$ .
2. We need to solve for $x$ .

STEP 2

To solve for $x$ , we first need to isolate the variable on one side of the equation. We can do this by subtracting $5$ from both sides of the equation to eliminate the constant term on the left side.
$3x + 5 - 5 = 17 - 5$

STEP 3

Perform the subtraction on both sides of the equation.
$3x = 12$

STEP 4

Now that we have $3x$ on one side, we can solve for $x$ by dividing both sides of the equation by $3$ to isolate $x$ .
$\frac{3x}{3} = \frac{12}{3}$

STEP 5

Perform the division to find the value of $x$ .
$x = 4$
The solution to the equation $3x + 5 = 17$ is $x = 4$ .

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