Solve for x 0.2x+2.4=1.5-1.2x

$0.2 x + 2.4 = 1.5 - 1.2 x$

Step 1

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

Add $1.2 x$ to both sides of the equation.

$0.2 x + 2.4 + 1.2 x = 1.5$

Add $0.2 x$ and $1.2 x$ .

$1.4 x + 2.4 = 1.5$

Step 2

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

Subtract $2.4$ from both sides of the equation.

$1.4 x = 1.5 - 2.4$

Subtract $2.4$ from $1.5$ .

$1.4 x = - 0.9$

Step 3

Divide each term in $1.4 x = - 0.9$ by $1.4$ and simplify.

Divide each term in $1.4 x = - 0.9$ by $1.4$ .

$\frac{1.4 x}{1.4} = \frac{- 0.9}{1.4}$

Simplify the left side.

Cancel the common factor of $1.4$ .

Cancel the common factor.

$\frac{1.4 x}{1.4} = \frac{- 0.9}{1.4}$

Divide $x$ by $1$ .

$x = \frac{- 0.9}{1.4}$

Simplify the right side.

Divide $- 0.9$ by $1.4$ .

$x = - 0.6\overline{428571}$