Solve for x 2(2x+4)=3/4(24-8x)

$2 (2 x + 4) = \frac{3}{4} (24 - 8 x)$

Simplify $2 (2 x + 4)$ .

Start simplifying.

$0 + 0 + 2 (2 x + 4) = \frac{3}{4} \cdot (24 - 8 x)$

Simplify by adding zeros.

$2 (2 x + 4) = \frac{3}{4} \cdot (24 - 8 x)$

Apply the distributive property.

$2 (2 x) + 2 \cdot 4 = \frac{3}{4} \cdot (24 - 8 x)$

Multiply.

Multiply $2$ by $2$ .

$4 x + 2 \cdot 4 = \frac{3}{4} \cdot (24 - 8 x)$

Multiply $2$ by $4$ .

$4 x + 8 = \frac{3}{4} \cdot (24 - 8 x)$

Simplify $\frac{3}{4} \cdot (24 - 8 x)$ .

Apply the distributive property.

$4 x + 8 = \frac{3}{4} \cdot 24 + \frac{3}{4} (- 8 x)$

Cancel the common factor of $4$ .

Factor $4$ out of $24$ .

$4 x + 8 = \frac{3}{4} \cdot (4 (6)) + \frac{3}{4} (- 8 x)$

Cancel the common factor.

$4 x + 8 = \frac{3}{4} \cdot (4 \cdot 6) + \frac{3}{4} (- 8 x)$

Rewrite the expression.

$4 x + 8 = 3 \cdot 6 + \frac{3}{4} (- 8 x)$

Multiply $3$ by $6$ .

$4 x + 8 = 18 + \frac{3}{4} (- 8 x)$

Cancel the common factor of $4$ .

Factor $4$ out of $- 8 x$ .

$4 x + 8 = 18 + \frac{3}{4} (4 (- 2 x))$

Cancel the common factor.

$4 x + 8 = 18 + \frac{3}{4} (4 (- 2 x))$

Rewrite the expression.

$4 x + 8 = 18 + 3 (- 2 x)$

Multiply $- 2$ by $3$ .

$4 x + 8 = 18 - 6 x$

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

Add $6 x$ to both sides of the equation.

$4 x + 8 + 6 x = 18$

Add $4 x$ and $6 x$ .

$10 x + 8 = 18$

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

Subtract $8$ from both sides of the equation.

$10 x = 18 - 8$

Subtract $8$ from $18$ .

$10 x = 10$

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

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

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

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $10$ by $10$ .

$x = 1$

Solve for x 2(2x+4)=3/4(24-8x)

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