Solve for x 6x+35+9x=15(x+4)-25

$6 x + 35 + 9 x = 15 (x + 4) - 25$

Step 1

Add $6 x$ and $9 x$ .

$15 x + 35 = 15 (x + 4) - 25$

Step 2

Simplify $15 (x + 4) - 25$ .

Simplify each term.

Apply the distributive property.

$15 x + 35 = 15 x + 15 \cdot 4 - 25$

Multiply $15$ by $4$ .

$15 x + 35 = 15 x + 60 - 25$

Subtract $25$ from $60$ .

$15 x + 35 = 15 x + 35$

Step 3

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

Subtract $15 x$ from both sides of the equation.

$15 x + 35 - 15 x = 35$

Combine the opposite terms in $15 x + 35 - 15 x$ .

Subtract $15 x$ from $15 x$ .

$0 + 35 = 35$

Add $0$ and $35$ .

$35 = 35$

Step 4

Since $35 = 35$ , the equation will always be true for any value of $x$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$