Solve for x 6x+15=6(x-3)

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

Step 1

Simplify $6 (x - 3)$ .

Rewrite.

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

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $6$ by $- 3$ .

$6 x + 15 = 6 x - 18$

Step 2

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

Subtract $6 x$ from both sides of the equation.

$6 x + 15 - 6 x = - 18$

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

Subtract $6 x$ from $6 x$ .

$0 + 15 = - 18$

Add $0$ and $15$ .

$15 = - 18$

Step 3

Since $15 \neq - 18$ , there are no solutions.

No solution