Solve for x 8x+3=4.7x-(-2.8x-3.7)

$8 x + 3 = 4.7 x - (- 2.8 x - 3.7)$

Step 1

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

$4.7 x - (- 2.8 x - 3.7) = 8 x + 3$

Step 2

Simplify $4.7 x - (- 2.8 x - 3.7)$ .

Simplify each term.

Apply the distributive property.

$4.7 x - (- 2.8 x) - - 3.7 = 8 x + 3$

Multiply $- 2.8$ by $- 1$ .

$4.7 x + 2.8 x - - 3.7 = 8 x + 3$

Multiply $- 1$ by $- 3.7$ .

$4.7 x + 2.8 x + 3.7 = 8 x + 3$

Add $4.7 x$ and $2.8 x$ .

$7.5 x + 3.7 = 8 x + 3$

Step 3

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

Subtract $8 x$ from both sides of the equation.

$7.5 x + 3.7 - 8 x = 3$

Subtract $8 x$ from $7.5 x$ .

$- 0.5 x + 3.7 = 3$

Step 4

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

Subtract $3.7$ from both sides of the equation.

$- 0.5 x = 3 - 3.7$

Subtract $3.7$ from $3$ .

$- 0.5 x = - 0.7$

Step 5

Divide each term in $- 0.5 x = - 0.7$ by $- 0.5$ and simplify.

Divide each term in $- 0.5 x = - 0.7$ by $- 0.5$ .

$\frac{- 0.5 x}{- 0.5} = \frac{- 0.7}{- 0.5}$

Simplify the left side.

Cancel the common factor of $- 0.5$ .

Cancel the common factor.

$\frac{- 0.5 x}{- 0.5} = \frac{- 0.7}{- 0.5}$

Divide $x$ by $1$ .

$x = \frac{- 0.7}{- 0.5}$

Simplify the right side.

Divide $- 0.7$ by $- 0.5$ .

$x = 1.4$