Question $-5 x-10=10$

Studdy Solution

STEP 1

1. The equation $-5x - 10 = 10$ is a linear equation in one variable.
2. We need to solve for $x$ .
3. The solution involves basic algebraic operations, such as addition and division.

STEP 2

1. Simplify the equation by isolating the term with $x$ .
2. Solve for $x$ by performing algebraic operations.
3. Check the solution by substituting it back into the original equation.

STEP 3

First, we need to isolate the term with $x$ on one side of the equation. We do this by adding 10 to both sides of the equation to eliminate the constant term on the left side:
$-5x - 10 + 10 = 10 + 10$

STEP 4

Simplify both sides:
$-5x = 20$

STEP 5

Now, we need to solve for $x$ . Since $x$ is being multiplied by $-5$ , we divide both sides by $-5$ to isolate $x$ :
$\frac{-5x}{-5} = \frac{20}{-5}$

STEP 6

Simplify the right side:
$x = -4$

STEP 7

Check the solution by substituting $x = -4$ back into the original equation:
$-5(-4) - 10 = 10$

STEP 8

Simplify both sides:
$20 - 10 = 10$
$10 = 10$
Both sides are equal, confirming that the solution is correct.
The solution is:
$\boxed{-4}$

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