Solve for x 0.5x+4+0.9x=x+5

$0.5 x + 4 + 0.9 x = x + 5$

Step 1

Add $0.5 x$ and $0.9 x$ .

$1.4 x + 4 = x + 5$

Step 2

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

Subtract $x$ from both sides of the equation.

$1.4 x + 4 - x = 5$

Subtract $x$ from $1.4 x$ .

$0.4 x + 4 = 5$

Step 3

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

Subtract $4$ from both sides of the equation.

$0.4 x = 5 - 4$

Subtract $4$ from $5$ .

$0.4 x = 1$

Step 4

Divide each term in $0.4 x = 1$ by $0.4$ and simplify.

Divide each term in $0.4 x = 1$ by $0.4$ .

$\frac{0.4 x}{0.4} = \frac{1}{0.4}$

Simplify the left side.

Cancel the common factor of $0.4$ .

Cancel the common factor.

$\frac{0.4 x}{0.4} = \frac{1}{0.4}$

Divide $x$ by $1$ .

$x = \frac{1}{0.4}$

Simplify the right side.

Divide $1$ by $0.4$ .

$x = 2.5$