Solve for x (1-5.1x)-(1.7x+5.4)=1

$(1 - 5.1 x) - (1.7 x + 5.4) = 1$

Step 1

Simplify $1 - 5.1 x - (1.7 x + 5.4)$ .

Simplify each term.

Apply the distributive property.

$1 - 5.1 x - (1.7 x) - 1 \cdot 5.4 = 1$

Multiply $1.7$ by $- 1$ .

$1 - 5.1 x - 1.7 x - 1 \cdot 5.4 = 1$

Multiply $- 1$ by $5.4$ .

$1 - 5.1 x - 1.7 x - 5.4 = 1$

Simplify by adding terms.

Subtract $5.4$ from $1$ .

$- 5.1 x - 1.7 x - 4.4 = 1$

Subtract $1.7 x$ from $- 5.1 x$ .

$- 6.8 x - 4.4 = 1$

Step 2

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

Add $4.4$ to both sides of the equation.

$- 6.8 x = 1 + 4.4$

Add $1$ and $4.4$ .

$- 6.8 x = 5.4$

Step 3

Divide each term in $- 6.8 x = 5.4$ by $- 6.8$ and simplify.

Divide each term in $- 6.8 x = 5.4$ by $- 6.8$ .

$\frac{- 6.8 x}{- 6.8} = \frac{5.4}{- 6.8}$

Simplify the left side.

Cancel the common factor of $- 6.8$ .

Cancel the common factor.

$\frac{- 6.8 x}{- 6.8} = \frac{5.4}{- 6.8}$

Divide $x$ by $1$ .

$x = \frac{5.4}{- 6.8}$

Simplify the right side.

Divide $5.4$ by $- 6.8$ .

$x = - 0.79411764$