Solve for k -2.7+1.9k=1.5-1.2k+k

$- 2.7 + 1.9 k = 1.5 - 1.2 k + k$

Step 1

Since $k$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$1.5 - 1.2 k + k = - 2.7 + 1.9 k$

Step 2

Add $- 1.2 k$ and $k$ .

$1.5 - 0.2 k = - 2.7 + 1.9 k$

Step 3

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

Subtract $1.9 k$ from both sides of the equation.

$1.5 - 0.2 k - 1.9 k = - 2.7$

Subtract $1.9 k$ from $- 0.2 k$ .

$1.5 - 2.1 k = - 2.7$

Step 4

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

Subtract $1.5$ from both sides of the equation.

$- 2.1 k = - 2.7 - 1.5$

Subtract $1.5$ from $- 2.7$ .

$- 2.1 k = - 4.2$

Step 5

Divide each term in $- 2.1 k = - 4.2$ by $- 2.1$ and simplify.

Divide each term in $- 2.1 k = - 4.2$ by $- 2.1$ .

$\frac{- 2.1 k}{- 2.1} = \frac{- 4.2}{- 2.1}$

Simplify the left side.

Cancel the common factor of $- 2.1$ .

Cancel the common factor.

$\frac{- 2.1 k}{- 2.1} = \frac{- 4.2}{- 2.1}$

Divide $k$ by $1$ .

$k = \frac{- 4.2}{- 2.1}$

Simplify the right side.

Divide $- 4.2$ by $- 2.1$ .

$k = 2$