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

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

Step 1

Simplify $2 (3 x + 2)$ .

Rewrite.

$0 + 0 + 2 (3 x + 2) = - 3 (- 2 + 5 x)$

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply.

Multiply $3$ by $2$ .

$6 x + 2 \cdot 2 = - 3 (- 2 + 5 x)$

Multiply $2$ by $2$ .

$6 x + 4 = - 3 (- 2 + 5 x)$

Step 2

Simplify $- 3 (- 2 + 5 x)$ .

Apply the distributive property.

$6 x + 4 = - 3 \cdot - 2 - 3 (5 x)$

Multiply.

Multiply $- 3$ by $- 2$ .

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

Multiply $5$ by $- 3$ .

$6 x + 4 = 6 - 15 x$

Step 3

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

Add $15 x$ to both sides of the equation.

$6 x + 4 + 15 x = 6$

Add $6 x$ and $15 x$ .

$21 x + 4 = 6$

Step 4

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

Subtract $4$ from both sides of the equation.

$21 x = 6 - 4$

Subtract $4$ from $6$ .

$21 x = 2$

Step 5

Divide each term in $21 x = 2$ by $21$ and simplify.

Divide each term in $21 x = 2$ by $21$ .

$\frac{21 x}{21} = \frac{2}{21}$

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

$\frac{21 x}{21} = \frac{2}{21}$

Divide $x$ by $1$ .

$x = \frac{2}{21}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{2}{21}$

Decimal Form:

$x = 0.\overline{095238}$

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

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