Solve for x -16+5x=4(3x+7)

$- 16 + 5 x = 4 (3 x + 7)$

Step 1

Simplify $4 (3 x + 7)$ .

Rewrite.

$- 16 + 5 x = 0 + 0 + 4 (3 x + 7)$

Simplify by adding zeros.

$- 16 + 5 x = 4 (3 x + 7)$

Apply the distributive property.

$- 16 + 5 x = 4 (3 x) + 4 \cdot 7$

Multiply.

Multiply $3$ by $4$ .

$- 16 + 5 x = 12 x + 4 \cdot 7$

Multiply $4$ by $7$ .

$- 16 + 5 x = 12 x + 28$

Step 2

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

Subtract $12 x$ from both sides of the equation.

$- 16 + 5 x - 12 x = 28$

Subtract $12 x$ from $5 x$ .

$- 16 - 7 x = 28$

Step 3

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

Add $16$ to both sides of the equation.

$- 7 x = 28 + 16$

Add $28$ and $16$ .

$- 7 x = 44$

Step 4

Divide each term in $- 7 x = 44$ by $- 7$ and simplify.

Divide each term in $- 7 x = 44$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{44}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{44}{- 7}$

Divide $x$ by $1$ .

$x = \frac{44}{- 7}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{44}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{44}{7}$

Decimal Form:

$x = - 6.\overline{285714}$

Mixed Number Form:

$x = - 6 \frac{2}{7}$

Solve for x -16+5x=4(3x+7)

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