Solve for x x+6=3(5-x)

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

Step 1

Simplify $3 (5 - x)$ .

Rewrite.

$x + 6 = 0 + 0 + 3 (5 - x)$

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply.

Multiply $3$ by $5$ .

$x + 6 = 15 + 3 (- x)$

Multiply $- 1$ by $3$ .

$x + 6 = 15 - 3 x$

Step 2

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

Add $3 x$ to both sides of the equation.

$x + 6 + 3 x = 15$

Add $x$ and $3 x$ .

$4 x + 6 = 15$

Step 3

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

Subtract $6$ from both sides of the equation.

$4 x = 15 - 6$

Subtract $6$ from $15$ .

$4 x = 9$

Step 4

Divide each term in $4 x = 9$ by $4$ and simplify.

Divide each term in $4 x = 9$ by $4$ .

$\frac{4 x}{4} = \frac{9}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{9}{4}$

Divide $x$ by $1$ .

$x = \frac{9}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{4}$

Decimal Form:

$x = 2.25$

Mixed Number Form:

$x = 2 \frac{1}{4}$