Solve for x 6(0.55)+1.00x=0.20(6+x)

$6 (0.55) + 1 x = 0.2 (6 + x)$

Step 1

Simplify each term.

Multiply $6$ by $0.55$ .

$3.3 + 1 x = 0.2 (6 + x)$

Multiply $x$ by $1$ .

$3.3 + x = 0.2 (6 + x)$

Step 2

Simplify $0.2 (6 + x)$ .

Apply the distributive property.

$3.3 + x = 0.2 \cdot 6 + 0.2 x$

Multiply $0.2$ by $6$ .

$3.3 + x = 1.2 + 0.2 x$

Step 3

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

Subtract $0.2 x$ from both sides of the equation.

$3.3 + x - 0.2 x = 1.2$

Subtract $0.2 x$ from $x$ .

$3.3 + 0.8 x = 1.2$

Step 4

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

Subtract $3.3$ from both sides of the equation.

$0.8 x = 1.2 - 3.3$

Subtract $3.3$ from $1.2$ .

$0.8 x = - 2.1$

Step 5

Divide each term in $0.8 x = - 2.1$ by $0.8$ and simplify.

Divide each term in $0.8 x = - 2.1$ by $0.8$ .

$\frac{0.8 x}{0.8} = \frac{- 2.1}{0.8}$

Simplify the left side.

Cancel the common factor of $0.8$ .

Cancel the common factor.

$\frac{0.8 x}{0.8} = \frac{- 2.1}{0.8}$

Divide $x$ by $1$ .

$x = \frac{- 2.1}{0.8}$

Simplify the right side.

Divide $- 2.1$ by $0.8$ .

$x = - 2.625$