Solve for x 4(7-3x)=7(4-2x)

$4 (7 - 3 x) = 7 (4 - 2 x)$

Step 1

Simplify $4 (7 - 3 x)$ .

Start simplifying.

$0 + 0 + 4 (7 - 3 x) = 7 (4 - 2 x)$

Simplify by adding zeros.

$4 (7 - 3 x) = 7 (4 - 2 x)$

Apply the distributive property.

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

Multiply.

Multiply $4$ by $7$ .

$28 + 4 (- 3 x) = 7 (4 - 2 x)$

Multiply $- 3$ by $4$ .

$28 - 12 x = 7 (4 - 2 x)$

Step 2

Simplify $7 (4 - 2 x)$ .

Apply the distributive property.

$28 - 12 x = 7 \cdot 4 + 7 (- 2 x)$

Multiply.

Multiply $7$ by $4$ .

$28 - 12 x = 28 + 7 (- 2 x)$

Multiply $- 2$ by $7$ .

$28 - 12 x = 28 - 14 x$

Step 3

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

Add $14 x$ to both sides of the equation.

$28 - 12 x + 14 x = 28$

Add $- 12 x$ and $14 x$ .

$28 + 2 x = 28$

Step 4

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

Subtract $28$ from both sides of the equation.

$2 x = 28 - 28$

Subtract $28$ from $28$ .

$2 x = 0$

Step 5

Divide each term in $2 x = 0$ by $2$ and simplify.

Divide each term in $2 x = 0$ by $2$ .

$\frac{2 x}{2} = \frac{0}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{0}{2}$

Divide $x$ by $1$ .

$x = \frac{0}{2}$

Simplify the right side.

Divide $0$ by $2$ .

$x = 0$

Solve for x 4(7-3x)=7(4-2x)

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