Solve for x 0.6(10x+25)=10+5x

$0.6 (10 x + 25) = 10 + 5 x$

Step 1

Simplify $0.6 (10 x + 25)$ .

Rewrite.

$0 + 0 + 0.6 (10 x + 25) = 10 + 5 x$

Simplify by adding zeros.

$0.6 (10 x + 25) = 10 + 5 x$

Apply the distributive property.

$0.6 (10 x) + 0.6 \cdot 25 = 10 + 5 x$

Multiply.

Multiply $10$ by $0.6$ .

$6 x + 0.6 \cdot 25 = 10 + 5 x$

Multiply $0.6$ by $25$ .

$6 x + 15 = 10 + 5 x$

Step 2

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

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

$6 x + 15 - 5 x = 10$

Subtract $5 x$ from $6 x$ .

$x + 15 = 10$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $15$ from both sides of the equation.

$x = 10 - 15$

Subtract $15$ from $10$ .

$x = - 5$