Solve for x 5(x-3)-3x=8x-15-6x

$5 (x - 3) - 3 x = 8 x - 15 - 6 x$

Step 1

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

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot - 3 - 3 x = 8 x - 15 - 6 x$

Multiply $5$ by $- 3$ .

$5 x - 15 - 3 x = 8 x - 15 - 6 x$

Subtract $3 x$ from $5 x$ .

$2 x - 15 = 8 x - 15 - 6 x$

Step 2

Subtract $6 x$ from $8 x$ .

$2 x - 15 = 2 x - 15$

Step 3

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

Subtract $2 x$ from both sides of the equation.

$2 x - 15 - 2 x = - 15$

Combine the opposite terms in $2 x - 15 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$0 - 15 = - 15$

Subtract $15$ from $0$ .

$- 15 = - 15$

Step 4

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

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$