Solve for x 4x-(3+5x)=2(x-1)+1

$4 x - (3 + 5 x) = 2 (x - 1) + 1$

Simplify $4 x - (3 + 5 x)$ .

Simplify each term.

Apply the distributive property.

$4 x - 1 \cdot 3 - (5 x) = 2 (x - 1) + 1$

Multiply $- 1$ by $3$ .

$4 x - 3 - (5 x) = 2 (x - 1) + 1$

Multiply $5$ by $- 1$ .

$4 x - 3 - 5 x = 2 (x - 1) + 1$

Subtract $5 x$ from $4 x$ .

$- x - 3 = 2 (x - 1) + 1$

Simplify $2 (x - 1) + 1$ .

Simplify each term.

Apply the distributive property.

$- x - 3 = 2 x + 2 \cdot - 1 + 1$

Multiply $2$ by $- 1$ .

$- x - 3 = 2 x - 2 + 1$

Add $- 2$ and $1$ .

$- x - 3 = 2 x - 1$

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

Subtract $2 x$ from both sides of the equation.

$- x - 3 - 2 x = - 1$

Subtract $2 x$ from $- x$ .

$- 3 x - 3 = - 1$

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

Add $3$ to both sides of the equation.

$- 3 x = - 1 + 3$

Add $- 1$ and $3$ .

$- 3 x = 2$

Divide each term in $- 3 x = 2$ by $- 3$ and simplify.

Divide each term in $- 3 x = 2$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{2}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{2}{- 3}$

Divide $x$ by $1$ .

$x = \frac{2}{- 3}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{2}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{2}{3}$

Decimal Form:

$x = - 0.\overline{6}$

Solve for x 4x-(3+5x)=2(x-1)+1

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