Solve for s 6(4s+12)=8(3s-14)

$6 (4 s + 12) = 8 (3 s - 14)$

Step 1

Simplify $6 (4 s + 12)$ .

Start simplifying.

$0 + 0 + 6 (4 s + 12) = 8 (3 s - 14)$

Simplify by adding zeros.

$6 (4 s + 12) = 8 (3 s - 14)$

Apply the distributive property.

$6 (4 s) + 6 \cdot 12 = 8 (3 s - 14)$

Multiply.

Multiply $4$ by $6$ .

$24 s + 6 \cdot 12 = 8 (3 s - 14)$

Multiply $6$ by $12$ .

$24 s + 72 = 8 (3 s - 14)$

Step 2

Simplify $8 (3 s - 14)$ .

Apply the distributive property.

$24 s + 72 = 8 (3 s) + 8 \cdot - 14$

Multiply.

Multiply $3$ by $8$ .

$24 s + 72 = 24 s + 8 \cdot - 14$

Multiply $8$ by $- 14$ .

$24 s + 72 = 24 s - 112$

Step 3

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

Subtract $24 s$ from both sides of the equation.

$24 s + 72 - 24 s = - 112$

Combine the opposite terms in $24 s + 72 - 24 s$ .

Subtract $24 s$ from $24 s$ .

$0 + 72 = - 112$

Add $0$ and $72$ .

$72 = - 112$

Step 4

Since $72 \neq - 112$ , there are no solutions.

No solution