Algebra Examples

$2 (8 m + 3) - 15 m - 4 = 9 m + 6 - 2 (m - 1) - 7 m$

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.

$9 m + 6 - 2 (m - 1) - 7 m = 2 (8 m + 3) - 15 m - 4$

Step 2

Simplify $9 m + 6 - 2 (m - 1) - 7 m$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$9 m + 6 - 2 m - 2 \cdot - 1 - 7 m = 2 (8 m + 3) - 15 m - 4$

Step 2.1.2

Multiply $- 2$ by $- 1$ .

$9 m + 6 - 2 m + 2 - 7 m = 2 (8 m + 3) - 15 m - 4$

Step 2.2

Simplify by adding terms.

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Step 2.2.1

Subtract $2 m$ from $9 m$ .

$7 m + 6 + 2 - 7 m = 2 (8 m + 3) - 15 m - 4$

Step 2.2.2

Combine the opposite terms in $7 m + 6 + 2 - 7 m$ .

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Step 2.2.2.1

Subtract $7 m$ from $7 m$ .

$0 + 6 + 2 = 2 (8 m + 3) - 15 m - 4$

Step 2.2.2.2

Add $0$ and $6$ .

$6 + 2 = 2 (8 m + 3) - 15 m - 4$

Step 2.2.3

Add $6$ and $2$ .

$8 = 2 (8 m + 3) - 15 m - 4$

Step 3

Simplify $2 (8 m + 3) - 15 m - 4$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Apply the distributive property.

$8 = 2 (8 m) + 2 \cdot 3 - 15 m - 4$

Step 3.1.2

Multiply $8$ by $2$ .

$8 = 16 m + 2 \cdot 3 - 15 m - 4$

Step 3.1.3

Multiply $2$ by $3$ .

$8 = 16 m + 6 - 15 m - 4$

Step 3.2

Simplify by adding terms.

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Step 3.2.1

Subtract $15 m$ from $16 m$ .

$8 = m + 6 - 4$

Step 3.2.2

Subtract $4$ from $6$ .

$8 = m + 2$

Step 4

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

$m + 2 = 8$

Step 5

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

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Step 5.1

Subtract $2$ from both sides of the equation.

$m = 8 - 2$

Step 5.2

Subtract $2$ from $8$ .

$m = 6$