Solve for x -3x+5+6(x+1)=-2x+3

$- 3 x + 5 + 6 (x + 1) = - 2 x + 3$

Step 1

Simplify $- 3 x + 5 + 6 (x + 1)$ .

Simplify each term.

Apply the distributive property.

$- 3 x + 5 + 6 x + 6 \cdot 1 = - 2 x + 3$

Multiply $6$ by $1$ .

$- 3 x + 5 + 6 x + 6 = - 2 x + 3$

Simplify by adding terms.

Add $- 3 x$ and $6 x$ .

$3 x + 5 + 6 = - 2 x + 3$

Add $5$ and $6$ .

$3 x + 11 = - 2 x + 3$

Step 2

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

Add $2 x$ to both sides of the equation.

$3 x + 11 + 2 x = 3$

Add $3 x$ and $2 x$ .

$5 x + 11 = 3$

Step 3

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

Subtract $11$ from both sides of the equation.

$5 x = 3 - 11$

Subtract $11$ from $3$ .

$5 x = - 8$

Step 4

Divide each term in $5 x = - 8$ by $5$ and simplify.

Divide each term in $5 x = - 8$ by $5$ .

$\frac{5 x}{5} = \frac{- 8}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 8}{5}$

Divide $x$ by $1$ .

$x = \frac{- 8}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{8}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{8}{5}$

Decimal Form:

$x = - 1.6$

Mixed Number Form:

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

Solve for x -3x+5+6(x+1)=-2x+3

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