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

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

Step 1

Simplify $7 (x - 2)$ .

Rewrite.

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

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $7$ by $- 2$ .

$7 x - 14 = 3 (x + 4)$

Step 2

Simplify $3 (x + 4)$ .

Apply the distributive property.

$7 x - 14 = 3 x + 3 \cdot 4$

Multiply $3$ by $4$ .

$7 x - 14 = 3 x + 12$

Step 3

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

Subtract $3 x$ from both sides of the equation.

$7 x - 14 - 3 x = 12$

Subtract $3 x$ from $7 x$ .

$4 x - 14 = 12$

Step 4

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

Add $14$ to both sides of the equation.

$4 x = 12 + 14$

Add $12$ and $14$ .

$4 x = 26$

Step 5

Divide each term in $4 x = 26$ by $4$ and simplify.

Divide each term in $4 x = 26$ by $4$ .

$\frac{4 x}{4} = \frac{26}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{26}{4}$

Divide $x$ by $1$ .

$x = \frac{26}{4}$

Simplify the right side.

Cancel the common factor of $26$ and $4$ .

Factor $2$ out of $26$ .

$x = \frac{2 (13)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$x = \frac{2 \cdot 13}{2 \cdot 2}$

Cancel the common factor.

$x = \frac{2 \cdot 13}{2 \cdot 2}$

Rewrite the expression.

$x = \frac{13}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{13}{2}$

Decimal Form:

$x = 6.5$

Mixed Number Form:

$x = 6 \frac{1}{2}$

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

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