Solve for x 5(3-x)+8x=3(x+5)

$5 (3 - x) + 8 x = 3 (x + 5)$

Simplify $5 (3 - x) + 8 x$ .

Simplify each term.

Apply the distributive property.

$5 \cdot 3 + 5 (- x) + 8 x = 3 (x + 5)$

Multiply $5$ by $3$ .

$15 + 5 (- x) + 8 x = 3 (x + 5)$

Multiply $- 1$ by $5$ .

$15 - 5 x + 8 x = 3 (x + 5)$

Add $- 5 x$ and $8 x$ .

$15 + 3 x = 3 (x + 5)$

Simplify $3 (x + 5)$ .

Apply the distributive property.

$15 + 3 x = 3 x + 3 \cdot 5$

Multiply $3$ by $5$ .

$15 + 3 x = 3 x + 15$

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

Subtract $3 x$ from both sides of the equation.

$15 + 3 x - 3 x = 15$

Combine the opposite terms in $15 + 3 x - 3 x$ .

Subtract $3 x$ from $3 x$ .

$15 + 0 = 15$

Add $15$ and $0$ .

$15 = 15$

Since $15 = 15$ , the equation will always be true for any value of $x$ .

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$