Solve for x 1.5(2-4x)=6x

$1.5 (2 - 4 x) = 6 x$

Simplify $1.5 (2 - 4 x)$ .

Start simplifying.

$0 + 0 + 1.5 (2 - 4 x) = 6 x$

Simplify by adding zeros.

$1.5 (2 - 4 x) = 6 x$

Apply the distributive property.

$1.5 \cdot 2 + 1.5 (- 4 x) = 6 x$

Multiply.

Multiply $1.5$ by $2$ .

$3 + 1.5 (- 4 x) = 6 x$

Multiply $- 4$ by $1.5$ .

$3 - 6 x = 6 x$

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

Subtract $6 x$ from both sides of the equation.

$3 - 6 x - 6 x = 0$

Subtract $6 x$ from $- 6 x$ .

$3 - 12 x = 0$

Subtract $3$ from both sides of the equation.

$- 12 x = - 3$

Divide each term in $- 12 x = - 3$ by $- 12$ and simplify.

Divide each term in $- 12 x = - 3$ by $- 12$ .

$\frac{- 12 x}{- 12} = \frac{- 3}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 x}{- 12} = \frac{- 3}{- 12}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 12}$

Simplify the right side.

Cancel the common factor of $- 3$ and $- 12$ .

Factor $- 3$ out of $- 3$ .

$x = \frac{- 3 (1)}{- 12}$

Cancel the common factors.

Factor $- 3$ out of $- 12$ .

$x = \frac{- 3 \cdot 1}{- 3 \cdot 4}$

Cancel the common factor.

$x = \frac{- 3 \cdot 1}{- 3 \cdot 4}$

Rewrite the expression.

$x = \frac{1}{4}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{4}$

Decimal Form:

$x = 0.25$