Solve for k -3(4x+3)+4(6x+1)=k

$- 3 (4 x + 3) + 4 (6 x + 1) = k$

Step 1

Rewrite the equation as $k = - 3 (4 x + 3) + 4 (6 x + 1)$ .

$k = - 3 (4 x + 3) + 4 (6 x + 1)$

Step 2

Simplify $- 3 (4 x + 3) + 4 (6 x + 1)$ .

Simplify each term.

Apply the distributive property.

$k = - 3 (4 x) - 3 \cdot 3 + 4 (6 x + 1)$

Multiply $4$ by $- 3$ .

$k = - 12 x - 3 \cdot 3 + 4 (6 x + 1)$

Multiply $- 3$ by $3$ .

$k = - 12 x - 9 + 4 (6 x + 1)$

Apply the distributive property.

$k = - 12 x - 9 + 4 (6 x) + 4 \cdot 1$

Multiply $6$ by $4$ .

$k = - 12 x - 9 + 24 x + 4 \cdot 1$

Multiply $4$ by $1$ .

$k = - 12 x - 9 + 24 x + 4$

Simplify by adding terms.

Add $- 12 x$ and $24 x$ .

$k = 12 x - 9 + 4$

Add $- 9$ and $4$ .

$k = 12 x - 5$