Algebra Examples

$5 m - 4 = m + 4 + m + 4$

Step 1

Since $m$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$m + 4 + m + 4 = 5 m - 4$

Step 2

Simplify $m + 4 + m + 4$ .

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Step 2.1

Add $m$ and $m$ .

$2 m + 4 + 4 = 5 m - 4$

Step 2.2

Add $4$ and $4$ .

$2 m + 8 = 5 m - 4$

Step 3

Move all terms containing $m$ to the left side of the equation.

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Step 3.1

Subtract $5 m$ from both sides of the equation.

$2 m + 8 - 5 m = - 4$

Step 3.2

Subtract $5 m$ from $2 m$ .

$- 3 m + 8 = - 4$

Step 4

Move all terms not containing $m$ to the right side of the equation.

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Step 4.1

Subtract $8$ from both sides of the equation.

$- 3 m = - 4 - 8$

Step 4.2

Subtract $8$ from $- 4$ .

$- 3 m = - 12$

Step 5

Divide each term in $- 3 m = - 12$ by $- 3$ and simplify.

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Step 5.1

Divide each term in $- 3 m = - 12$ by $- 3$ .

$\frac{- 3 m}{- 3} = \frac{- 12}{- 3}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $- 3$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{- 3 m}{- 3} = \frac{- 12}{- 3}$

Step 5.2.1.2

Divide $m$ by $1$ .

$m = \frac{- 12}{- 3}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $- 12$ by $- 3$ .

$m = 4$