Solve for u 8(4u-1)-12u=11(2u-6)

$8 (4 u - 1) - 12 u = 11 (2 u - 6)$

Step 1

Simplify $8 (4 u - 1) - 12 u$ .

Simplify each term.

Apply the distributive property.

$8 (4 u) + 8 \cdot - 1 - 12 u = 11 (2 u - 6)$

Multiply $4$ by $8$ .

$32 u + 8 \cdot - 1 - 12 u = 11 (2 u - 6)$

Multiply $8$ by $- 1$ .

$32 u - 8 - 12 u = 11 (2 u - 6)$

Subtract $12 u$ from $32 u$ .

$20 u - 8 = 11 (2 u - 6)$

Step 2

Simplify $11 (2 u - 6)$ .

Apply the distributive property.

$20 u - 8 = 11 (2 u) + 11 \cdot - 6$

Multiply.

Multiply $2$ by $11$ .

$20 u - 8 = 22 u + 11 \cdot - 6$

Multiply $11$ by $- 6$ .

$20 u - 8 = 22 u - 66$

Step 3

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

Subtract $22 u$ from both sides of the equation.

$20 u - 8 - 22 u = - 66$

Subtract $22 u$ from $20 u$ .

$- 2 u - 8 = - 66$

Step 4

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

Add $8$ to both sides of the equation.

$- 2 u = - 66 + 8$

Add $- 66$ and $8$ .

$- 2 u = - 58$

Step 5

Divide each term in $- 2 u = - 58$ by $- 2$ and simplify.

Divide each term in $- 2 u = - 58$ by $- 2$ .

$\frac{- 2 u}{- 2} = \frac{- 58}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 u}{- 2} = \frac{- 58}{- 2}$

Divide $u$ by $1$ .

$u = \frac{- 58}{- 2}$

Simplify the right side.

Divide $- 58$ by $- 2$ .

$u = 29$

Solve for u 8(4u-1)-12u=11(2u-6)

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