Solve for x -5(x+3/5)=-4

$- 5 (x + \frac{3}{5}) = - 4$

Simplify.

Apply the distributive property.

$- 5 x - 5 (\frac{3}{5}) = - 4$

Cancel the common factor of $5$ .

Factor $5$ out of $- 5$ .

$- 5 x + 5 (- 1) \frac{3}{5} = - 4$

Cancel the common factor.

$- 5 x + 5 \cdot - 1 \frac{3}{5} = - 4$

Rewrite the expression.

$- 5 x - 1 \cdot 3 = - 4$

Multiply $- 1$ by $3$ .

$- 5 x - 3 = - 4$

Divide each term in $(- 5 x - 3) = - 4$ by $- 5$ and simplify.

Divide each term in $(- 5 x - 3) = - 4$ by $- 5$ .

$\frac{(- 5 x - 3)}{- 5} = \frac{- 4}{- 5}$

Simplify the left side.

Move the negative in front of the fraction.

$- \frac{- 5 x - 3}{5} = \frac{- 4}{- 5}$

Factor $- 1$ out of $- 5 x$ .

$- \frac{- (5 x) - 3}{5} = \frac{- 4}{- 5}$

Rewrite $- 3$ as $- 1 (3)$ .

$- \frac{- (5 x) - 1 (3)}{5} = \frac{- 4}{- 5}$

Factor $- 1$ out of $- (5 x) - 1 (3)$ .

$- \frac{- (5 x + 3)}{5} = \frac{- 4}{- 5}$

Simplify the expression.

Rewrite $- (5 x + 3)$ as $- 1 (5 x + 3)$ .

$- \frac{- 1 (5 x + 3)}{5} = \frac{- 4}{- 5}$

Move the negative in front of the fraction.

$- - \frac{5 x + 3}{5} = \frac{- 4}{- 5}$

Multiply $- 1$ by $- 1$ .

$1 \frac{5 x + 3}{5} = \frac{- 4}{- 5}$

Multiply $\frac{5 x + 3}{5}$ by $1$ .

$\frac{5 x + 3}{5} = \frac{- 4}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$\frac{5 x + 3}{5} = \frac{4}{5}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$5 x + 3 = 4$

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

Subtract $3$ from both sides of the equation.

$5 x = 4 - 3$

Subtract $3$ from $4$ .

$5 x = 1$

Divide each term in $5 x = 1$ by $5$ and simplify.

Divide each term in $5 x = 1$ by $5$ .

$\frac{5 x}{5} = \frac{1}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{1}{5}$

Divide $x$ by $1$ .

$x = \frac{1}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{5}$

Decimal Form:

$x = 0.2$

Solve for x -5(x+3/5)=-4

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