Solve for x 2.5(4x+2)=12x

$2.5 (4 x + 2) = 12 x$

Simplify $2.5 (4 x + 2)$ .

Start simplifying.

$0 + 0 + 2.5 (4 x + 2) = 12 x$

Simplify by adding zeros.

$2.5 (4 x + 2) = 12 x$

Apply the distributive property.

$2.5 (4 x) + 2.5 \cdot 2 = 12 x$

Multiply.

Multiply $4$ by $2.5$ .

$10 x + 2.5 \cdot 2 = 12 x$

Multiply $2.5$ by $2$ .

$10 x + 5 = 12 x$

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

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

$10 x + 5 - 12 x = 0$

Subtract $12 x$ from $10 x$ .

$- 2 x + 5 = 0$

Subtract $5$ from both sides of the equation.

$- 2 x = - 5$

Divide each term in $- 2 x = - 5$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 5$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 5}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 5}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 5}{- 2}$

Simplify the right side.

Cancel the common factor of $- 5$ and $- 2$ .

Rewrite $- 5$ as $- 1 (5)$ .

$x = \frac{- 1 (5)}{- 2}$

Cancel the common factors.

Rewrite $- 2$ as $- 1 (2)$ .

$x = \frac{- 1 \cdot 5}{- 1 \cdot 2}$

Cancel the common factor.

$x = \frac{- 1 \cdot 5}{- 1 \cdot 2}$

Rewrite the expression.

$x = \frac{5}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{2}$

Decimal Form:

$x = 2.5$

Mixed Number Form:

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

Solve for x 2.5(4x+2)=12x

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