Solve for x 5x-3(x+9)+10=4

$5 x - 3 (x + 9) + 10 = 4$

Simplify $5 x - 3 (x + 9) + 10$ .

Simplify each term.

Apply the distributive property.

$5 x - 3 x - 3 \cdot 9 + 10 = 4$

Multiply $- 3$ by $9$ .

$5 x - 3 x - 27 + 10 = 4$

Simplify by adding terms.

Subtract $3 x$ from $5 x$ .

$2 x - 27 + 10 = 4$

Add $- 27$ and $10$ .

$2 x - 17 = 4$

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

Add $17$ to both sides of the equation.

$2 x = 4 + 17$

Add $4$ and $17$ .

$2 x = 21$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = 10.5$

Mixed Number Form:

$x = 10 \frac{1}{2}$