Question $5-9 x=-13$

Studdy Solution

STEP 1

1. The equation $5 - 9x = -13$ is asking us to solve for $x$ .
2. This is a linear equation with one solution.
3. The equation involves basic algebraic operations, specifically addition, subtraction, and division.

STEP 2

1. Isolate the term containing $x$ on one side of the equation.
2. Solve for $x$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

To isolate the term containing $x$ , subtract 5 from both sides of the equation:
$5 - 9x - 5 = -13 - 5$
Simplify both sides:
$-9x = -18$

STEP 4

Now, solve for $x$ by dividing both sides by $-9$ :
$\frac{-9x}{-9} = \frac{-18}{-9}$
Simplify both sides:
$x = 2$

STEP 5

Check the solution by substituting $x = 2$ back into the original equation:
$5 - 9(2) = -13$
Calculate the left-hand side:
$5 - 18 = -13$
Verify that both sides are equal:
$-13 = -13$
The solution is correct.

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