Solve for x 6(x+3)=7.2x-2(-1.9x-6)

$6 (x + 3) = 7.2 x - 2 (- 1.9 x - 6)$

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$7.2 x - 2 (- 1.9 x - 6) = 6 (x + 3)$

Simplify $7.2 x - 2 (- 1.9 x - 6)$ .

Simplify each term.

Apply the distributive property.

$7.2 x - 2 (- 1.9 x) - 2 \cdot - 6 = 6 (x + 3)$

Multiply $- 1.9$ by $- 2$ .

$7.2 x + 3.8 x - 2 \cdot - 6 = 6 (x + 3)$

Multiply $- 2$ by $- 6$ .

$7.2 x + 3.8 x + 12 = 6 (x + 3)$

Add $7.2 x$ and $3.8 x$ .

$11 x + 12 = 6 (x + 3)$

Simplify $6 (x + 3)$ .

Apply the distributive property.

$11 x + 12 = 6 x + 6 \cdot 3$

Multiply $6$ by $3$ .

$11 x + 12 = 6 x + 18$

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

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

$11 x + 12 - 6 x = 18$

Subtract $6 x$ from $11 x$ .

$5 x + 12 = 18$

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

Subtract $12$ from both sides of the equation.

$5 x = 18 - 12$

Subtract $12$ from $18$ .

$5 x = 6$

Divide each term in $5 x = 6$ by $5$ and simplify.

Divide each term in $5 x = 6$ by $5$ .

$\frac{5 x}{5} = \frac{6}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{6}{5}$

Divide $x$ by $1$ .

$x = \frac{6}{5}$

Simplify the right side.

Cancel the common factor of $6$ and $5$ .

Rewrite $6$ as $1 (6)$ .

$x = \frac{1 (6)}{5}$

Cancel the common factors.

Rewrite $5$ as $1 (5)$ .

$x = \frac{1 \cdot 6}{1 \cdot 5}$

Cancel the common factor.

$x = \frac{1 \cdot 6}{1 \cdot 5}$

Rewrite the expression.

$x = \frac{6}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{6}{5}$

Decimal Form:

$x = 1.2$

Mixed Number Form:

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

Solve for x 6(x+3)=7.2x-2(-1.9x-6)

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