Question $10-5 m=45$

Studdy Solution

STEP 1

1. The equation $10 - 5m = 45$ is asking us to solve for $m$ .
2. This is a two-step equation with one solution.
3. The equation involves basic algebraic operations, specifically subtraction and division.

STEP 2

1. Isolate the term containing the variable $m$ .
2. Solve for $m$ 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 the variable $m$ . To do this, we subtract 10 from both sides of the equation:
$10 - 5m - 10 = 45 - 10$
Simplifying both sides gives:
$-5m = 35$

STEP 4

Now, we need to solve for $m$ by dividing both sides of the equation by $-5$ :
$\frac{-5m}{-5} = \frac{35}{-5}$
Simplifying both sides gives:
$m = -7$

STEP 5

We should check the solution by substituting $m = -7$ back into the original equation:
Substitute $m = -7$ :
$10 - 5(-7) = 45$

STEP 6

Simplify the left-hand side:
$10 + 35 = 45$
$45 = 45$
Yes! Both sides are equal.
Therefore, the solution is:
$\boxed{-7}$

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