Solve for x 4(x-2)+5x=2(3x-8)

$4 (x - 2) + 5 x = 2 (3 x - 8)$

Simplify $4 (x - 2) + 5 x$ .

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Simplify each term.

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Apply the distributive property.

$4 x + 4 \cdot - 2 + 5 x = 2 (3 x - 8)$

Multiply $4$ by $- 2$ .

$4 x - 8 + 5 x = 2 (3 x - 8)$

Add $4 x$ and $5 x$ .

$9 x - 8 = 2 (3 x - 8)$

Simplify $2 (3 x - 8)$ .

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Apply the distributive property.

$9 x - 8 = 2 (3 x) + 2 \cdot - 8$

Multiply.

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Multiply $3$ by $2$ .

$9 x - 8 = 6 x + 2 \cdot - 8$

Multiply $2$ by $- 8$ .

$9 x - 8 = 6 x - 16$

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

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Subtract $6 x$ from both sides of the equation.

$9 x - 8 - 6 x = - 16$

Subtract $6 x$ from $9 x$ .

$3 x - 8 = - 16$

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

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Add $8$ to both sides of the equation.

$3 x = - 16 + 8$

Add $- 16$ and $8$ .

$3 x = - 8$

Divide each term by $3$ and simplify.

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Divide each term in $3 x = - 8$ by $3$ .

$\frac{3 x}{3} = \frac{- 8}{3}$

Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 x}{3} = \frac{- 8}{3}$

Divide $x$ by $1$ .

$x = \frac{- 8}{3}$

Move the negative in front of the fraction.

$x = - \frac{8}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{8}{3}$

Decimal Form:

$x = - 2.\overline{6}$

Mixed Number Form:

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

Solve for x 4(x-2)+5x=2(3x-8)

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