Solve for x 5(2x-3)-6x=30

$5 (2 x - 3) - 6 x = 30$

Step 1

Simplify $5 (2 x - 3) - 6 x$ .

Simplify each term.

Apply the distributive property.

$5 (2 x) + 5 \cdot - 3 - 6 x = 30$

Multiply $2$ by $5$ .

$10 x + 5 \cdot - 3 - 6 x = 30$

Multiply $5$ by $- 3$ .

$10 x - 15 - 6 x = 30$

Subtract $6 x$ from $10 x$ .

$4 x - 15 = 30$

Step 2

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

Add $15$ to both sides of the equation.

$4 x = 30 + 15$

Add $30$ and $15$ .

$4 x = 45$

Step 3

Divide each term in $4 x = 45$ by $4$ and simplify.

Divide each term in $4 x = 45$ by $4$ .

$\frac{4 x}{4} = \frac{45}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{45}{4}$

Divide $x$ by $1$ .

$x = \frac{45}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{45}{4}$

Decimal Form:

$x = 11.25$

Mixed Number Form:

$x = 11 \frac{1}{4}$