Solve for x -3(2x-5)=15-6x

$- 3 (2 x - 5) = 15 - 6 x$

Simplify $- 3 (2 x - 5)$ .

Rewrite.

$0 + 0 - 3 (2 x - 5) = 15 - 6 x$

Simplify by adding zeros.

$- 3 (2 x - 5) = 15 - 6 x$

Apply the distributive property.

$- 3 (2 x) - 3 \cdot - 5 = 15 - 6 x$

Multiply.

Multiply $2$ by $- 3$ .

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

Multiply $- 3$ by $- 5$ .

$- 6 x + 15 = 15 - 6 x$

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

Add $6 x$ to both sides of the equation.

$- 6 x + 15 + 6 x = 15$

Combine the opposite terms in $- 6 x + 15 + 6 x$ .

Add $- 6 x$ and $6 x$ .

$0 + 15 = 15$

Add $0$ and $15$ .

$15 = 15$

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:

$(- \infty, \infty)$