Evaluate 8w+5=4(2w+1)

$8 w + 5 = 4 (2 w + 1)$

Step 1

Simplify $4 (2 w + 1)$ .

Rewrite.

$8 w + 5 = 0 + 0 + 4 (2 w + 1)$

Simplify by adding zeros.

$8 w + 5 = 4 (2 w + 1)$

Apply the distributive property.

$8 w + 5 = 4 (2 w) + 4 \cdot 1$

Multiply.

Multiply $2$ by $4$ .

$8 w + 5 = 8 w + 4 \cdot 1$

Multiply $4$ by $1$ .

$8 w + 5 = 8 w + 4$

Step 2

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

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

$8 w + 5 - 8 w = 4$

Combine the opposite terms in $8 w + 5 - 8 w$ .

Subtract $8 w$ from $8 w$ .

$0 + 5 = 4$

Add $0$ and $5$ .

$5 = 4$

Step 3

Since $5 \neq 4$ , there are no solutions.

No solution