Solve for x (6x+4)/4=6x+2

$\frac{6 x + 4}{4} = 6 x + 2$

Cancel the common factor of $6 x + 4$ and $4$ .

Factor $2$ out of $6 x$ .

$\frac{2 (3 x) + 4}{4} = 6 x + 2$

Factor $2$ out of $4$ .

$\frac{2 (3 x) + 2 (2)}{4} = 6 x + 2$

Factor $2$ out of $2 (3 x) + 2 (2)$ .

$\frac{2 (3 x + 2)}{4} = 6 x + 2$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 (3 x + 2)}{2 (2)} = 6 x + 2$

Cancel the common factor.

$\frac{2 (3 x + 2)}{2 \cdot 2} = 6 x + 2$

Rewrite the expression.

$\frac{3 x + 2}{2} = 6 x + 2$

Multiply both sides by $2$ .

$\frac{3 x + 2}{2} \cdot 2 = (6 x + 2) \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{3 x + 2}{2} \cdot 2 = (6 x + 2) \cdot 2$

Rewrite the expression.

$3 x + 2 = (6 x + 2) \cdot 2$

Simplify the right side.

Simplify $(6 x + 2) \cdot 2$ .

Apply the distributive property.

$3 x + 2 = 6 x \cdot 2 + 2 \cdot 2$

Multiply.

Multiply $2$ by $6$ .

$3 x + 2 = 12 x + 2 \cdot 2$

Multiply $2$ by $2$ .

$3 x + 2 = 12 x + 4$

Solve for $x$ .

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

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

$3 x + 2 - 12 x = 4$

Subtract $12 x$ from $3 x$ .

$- 9 x + 2 = 4$

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

Subtract $2$ from both sides of the equation.

$- 9 x = 4 - 2$

Subtract $2$ from $4$ .

$- 9 x = 2$

Divide each term in $- 9 x = 2$ by $- 9$ and simplify.

Divide each term in $- 9 x = 2$ by $- 9$ .

$\frac{- 9 x}{- 9} = \frac{2}{- 9}$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 x}{- 9} = \frac{2}{- 9}$

Divide $x$ by $1$ .

$x = \frac{2}{- 9}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{2}{9}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{2}{9}$

Decimal Form:

$x = - 0.\overline{2}$

Solve for x (6x+4)/4=6x+2

Related Questions

Support LCMGCF.com by disabling your adblocker.