Evaluate (5-3x)-(-4x+6)=(8x+11)-(3x-6)

$(5 - 3 x) - (- 4 x + 6) = (8 x + 11) - (3 x - 6)$

Step 1

Simplify $5 - 3 x - (- 4 x + 6)$ .

Simplify each term.

Apply the distributive property.

$5 - 3 x - (- 4 x) - 1 \cdot 6 = 8 x + 11 - (3 x - 6)$

Multiply $- 4$ by $- 1$ .

$5 - 3 x + 4 x - 1 \cdot 6 = 8 x + 11 - (3 x - 6)$

Multiply $- 1$ by $6$ .

$5 - 3 x + 4 x - 6 = 8 x + 11 - (3 x - 6)$

Simplify by adding terms.

Subtract $6$ from $5$ .

$- 3 x + 4 x - 1 = 8 x + 11 - (3 x - 6)$

Add $- 3 x$ and $4 x$ .

$x - 1 = 8 x + 11 - (3 x - 6)$

Step 2

Simplify $8 x + 11 - (3 x - 6)$ .

Simplify each term.

Apply the distributive property.

$x - 1 = 8 x + 11 - (3 x) - - 6$

Multiply $3$ by $- 1$ .

$x - 1 = 8 x + 11 - 3 x - - 6$

Multiply $- 1$ by $- 6$ .

$x - 1 = 8 x + 11 - 3 x + 6$

Simplify by adding terms.

Subtract $3 x$ from $8 x$ .

$x - 1 = 5 x + 11 + 6$

Add $11$ and $6$ .

$x - 1 = 5 x + 17$

Step 3

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

Subtract $5 x$ from both sides of the equation.

$x - 1 - 5 x = 17$

Subtract $5 x$ from $x$ .

$- 4 x - 1 = 17$

Step 4

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

Add $1$ to both sides of the equation.

$- 4 x = 17 + 1$

Add $17$ and $1$ .

$- 4 x = 18$

Step 5

Divide each term in $- 4 x = 18$ by $- 4$ and simplify.

Divide each term in $- 4 x = 18$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{18}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{18}{- 4}$

Divide $x$ by $1$ .

$x = \frac{18}{- 4}$

Simplify the right side.

Cancel the common factor of $18$ and $- 4$ .

Factor $2$ out of $18$ .

$x = \frac{2 (9)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$x = \frac{2 \cdot 9}{2 \cdot - 2}$

Cancel the common factor.

$x = \frac{2 \cdot 9}{2 \cdot - 2}$

Rewrite the expression.

$x = \frac{9}{- 2}$

Move the negative in front of the fraction.

$x = - \frac{9}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{9}{2}$

Decimal Form:

$x = - 4.5$

Mixed Number Form:

$x = - 4 \frac{1}{2}$

Evaluate (5-3x)-(-4x+6)=(8x+11)-(3x-6)

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