Solve for x 16(x+2)-8=16x+24

$16 (x + 2) - 8 = 16 x + 24$

Step 1

Simplify $16 (x + 2) - 8$ .

Simplify each term.

Apply the distributive property.

$16 x + 16 \cdot 2 - 8 = 16 x + 24$

Multiply $16$ by $2$ .

$16 x + 32 - 8 = 16 x + 24$

Subtract $8$ from $32$ .

$16 x + 24 = 16 x + 24$

Step 2

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

Subtract $16 x$ from both sides of the equation.

$16 x + 24 - 16 x = 24$

Combine the opposite terms in $16 x + 24 - 16 x$ .

Subtract $16 x$ from $16 x$ .

$0 + 24 = 24$

Add $0$ and $24$ .

$24 = 24$

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:

$(- \infty, \infty)$