Solve for x -9x(4x-1)-2x(-18x-6)-60=3

$- 9 x (4 x - 1) - 2 x (- 18 x - 6) - 60 = 3$

Step 1

Simplify $- 9 x (4 x - 1) - 2 x (- 18 x - 6) - 60$ .

Simplify each term.

Apply the distributive property.

$- 9 x (4 x) - 9 x \cdot - 1 - 2 x (- 18 x - 6) - 60 = 3$

Rewrite using the commutative property of multiplication.

$- 9 \cdot 4 x \cdot x - 9 x \cdot - 1 - 2 x (- 18 x - 6) - 60 = 3$

Multiply $- 1$ by $- 9$ .

$- 9 \cdot 4 x \cdot x + 9 x - 2 x (- 18 x - 6) - 60 = 3$

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- 9 \cdot 4 (x \cdot x) + 9 x - 2 x (- 18 x - 6) - 60 = 3$

Multiply $x$ by $x$ .

$- 9 \cdot 4 x^{2} + 9 x - 2 x (- 18 x - 6) - 60 = 3$

Multiply $- 9$ by $4$ .

$- 36 x^{2} + 9 x - 2 x (- 18 x - 6) - 60 = 3$

Apply the distributive property.

$- 36 x^{2} + 9 x - 2 x (- 18 x) - 2 x \cdot - 6 - 60 = 3$

Rewrite using the commutative property of multiplication.

$- 36 x^{2} + 9 x - 2 \cdot - 18 x \cdot x - 2 x \cdot - 6 - 60 = 3$

Multiply $- 6$ by $- 2$ .

$- 36 x^{2} + 9 x - 2 \cdot - 18 x \cdot x + 12 x - 60 = 3$

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- 36 x^{2} + 9 x - 2 \cdot - 18 (x \cdot x) + 12 x - 60 = 3$

Multiply $x$ by $x$ .

$- 36 x^{2} + 9 x - 2 \cdot - 18 x^{2} + 12 x - 60 = 3$

Multiply $- 2$ by $- 18$ .

$- 36 x^{2} + 9 x + 36 x^{2} + 12 x - 60 = 3$

Simplify by adding terms.

Combine the opposite terms in $- 36 x^{2} + 9 x + 36 x^{2} + 12 x - 60$ .

Add $- 36 x^{2}$ and $36 x^{2}$ .

$9 x + 0 + 12 x - 60 = 3$

Add $9 x$ and $0$ .

$9 x + 12 x - 60 = 3$

Add $9 x$ and $12 x$ .

$21 x - 60 = 3$

Step 2

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

Add $60$ to both sides of the equation.

$21 x = 3 + 60$

Add $3$ and $60$ .

$21 x = 63$

Step 3

Divide each term in $21 x = 63$ by $21$ and simplify.

Divide each term in $21 x = 63$ by $21$ .

$\frac{21 x}{21} = \frac{63}{21}$

Simplify the left side.

Cancel the common factor of $21$ .

Cancel the common factor.

$\frac{21 x}{21} = \frac{63}{21}$

Divide $x$ by $1$ .

$x = \frac{63}{21}$

Simplify the right side.

Divide $63$ by $21$ .

$x = 3$

Solve for x -9x(4x-1)-2x(-18x-6)-60=3

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