Solve for x 2((5x+4)/2)=7(2)

$2 (\frac{5 x + 4}{2}) = 7 (2)$

Simplify.

Combine $2$ and $\frac{5 x + 4}{2}$ .

$\frac{2 (5 x + 4)}{2} = 7 (2)$

Multiply $7$ by $2$ .

$\frac{2 (5 x + 4)}{2} = 14$

Divide each term in $\frac{2 (5 x + 4)}{2} = 14$ by $2$ and simplify.

Divide each term in $\frac{2 (5 x + 4)}{2} = 14$ by $2$ .

$\frac{\frac{2 (5 x + 4)}{2}}{2} = \frac{14}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{\frac{2 (5 x + 4)}{2}}{2} = \frac{14}{2}$

Divide $5 x + 4$ by $1$ .

$\frac{5 x + 4}{2} = \frac{14}{2}$

Simplify the right side.

Divide $14$ by $2$ .

$\frac{5 x + 4}{2} = 7$

Multiply both sides by $2$ .

$\frac{5 x + 4}{2} \cdot 2 = 7 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{5 x + 4}{2} \cdot 2 = 7 \cdot 2$

Rewrite the expression.

$5 x + 4 = 7 \cdot 2$

Simplify the right side.

Multiply $7$ by $2$ .

$5 x + 4 = 14$

Solve for $x$ .

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

Subtract $4$ from both sides of the equation.

$5 x = 14 - 4$

Subtract $4$ from $14$ .

$5 x = 10$

Divide each term in $5 x = 10$ by $5$ and simplify.

Divide each term in $5 x = 10$ by $5$ .

$\frac{5 x}{5} = \frac{10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{10}{5}$

Divide $x$ by $1$ .

$x = \frac{10}{5}$

Simplify the right side.

Divide $10$ by $5$ .

$x = 2$

Solve for x 2((5x+4)/2)=7(2)

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