Solve for x 8(x-3)=8x-24

$8 (x - 3) = 8 x - 24$

Step 1

Simplify $8 (x - 3)$ .

Rewrite.

$0 + 0 + 8 (x - 3) = 8 x - 24$

Simplify by adding zeros.

$8 (x - 3) = 8 x - 24$

Apply the distributive property.

$8 x + 8 \cdot - 3 = 8 x - 24$

Multiply $8$ by $- 3$ .

$8 x - 24 = 8 x - 24$

Step 2

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

Subtract $8 x$ from both sides of the equation.

$8 x - 24 - 8 x = - 24$

Combine the opposite terms in $8 x - 24 - 8 x$ .

Subtract $8 x$ from $8 x$ .

$0 - 24 = - 24$

Subtract $24$ from $0$ .

$- 24 = - 24$

Step 3

Since $- 24 = - 24$ , the equation will always be true for any value of $x$ .

All real numbers

Step 4

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$