Solve for x 5(x+10)-25=5x+25

$5 (x + 10) - 25 = 5 x + 25$

Step 1

Simplify $5 (x + 10) - 25$ .

Simplify each term.

Apply the distributive property.

$5 x + 5 \cdot 10 - 25 = 5 x + 25$

Multiply $5$ by $10$ .

$5 x + 50 - 25 = 5 x + 25$

Subtract $25$ from $50$ .

$5 x + 25 = 5 x + 25$

Step 2

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

Subtract $5 x$ from both sides of the equation.

$5 x + 25 - 5 x = 25$

Combine the opposite terms in $5 x + 25 - 5 x$ .

Subtract $5 x$ from $5 x$ .

$0 + 25 = 25$

Add $0$ and $25$ .

$25 = 25$

Step 3

Since $25 = 25$ , 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:

$(- \infty, \infty)$