Solve for u 3=7(4-2u)-6u

$3 = 7 (4 - 2 u) - 6 u$

Step 1

Rewrite the equation as $7 (4 - 2 u) - 6 u = 3$ .

$7 (4 - 2 u) - 6 u = 3$

Step 2

Simplify $7 (4 - 2 u) - 6 u$ .

Simplify each term.

Apply the distributive property.

$7 \cdot 4 + 7 (- 2 u) - 6 u = 3$

Multiply $7$ by $4$ .

$28 + 7 (- 2 u) - 6 u = 3$

Multiply $- 2$ by $7$ .

$28 - 14 u - 6 u = 3$

Subtract $6 u$ from $- 14 u$ .

$28 - 20 u = 3$

Step 3

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

Subtract $28$ from both sides of the equation.

$- 20 u = 3 - 28$

Subtract $28$ from $3$ .

$- 20 u = - 25$

Step 4

Divide each term in $- 20 u = - 25$ by $- 20$ and simplify.

Divide each term in $- 20 u = - 25$ by $- 20$ .

$\frac{- 20 u}{- 20} = \frac{- 25}{- 20}$

Simplify the left side.

Cancel the common factor of $- 20$ .

Cancel the common factor.

$\frac{- 20 u}{- 20} = \frac{- 25}{- 20}$

Divide $u$ by $1$ .

$u = \frac{- 25}{- 20}$

Simplify the right side.

Cancel the common factor of $- 25$ and $- 20$ .

Factor $- 5$ out of $- 25$ .

$u = \frac{- 5 (5)}{- 20}$

Cancel the common factors.

Factor $- 5$ out of $- 20$ .

$u = \frac{- 5 \cdot 5}{- 5 \cdot 4}$

Cancel the common factor.

$u = \frac{- 5 \cdot 5}{- 5 \cdot 4}$

Rewrite the expression.

$u = \frac{5}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$u = \frac{5}{4}$

Decimal Form:

$u = 1.25$

Mixed Number Form:

$u = 1 \frac{1}{4}$

Solve for u 3=7(4-2u)-6u

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