Evaluate 5(x-134)=3(x-60)

$5 (x - 134) = 3 (x - 60)$

Step 1

Simplify $5 (x - 134)$ .

Start simplifying.

$0 + 0 + 5 (x - 134) = 3 (x - 60)$

Simplify by adding zeros.

$5 (x - 134) = 3 (x - 60)$

Apply the distributive property.

$5 x + 5 \cdot - 134 = 3 (x - 60)$

Multiply $5$ by $- 134$ .

$5 x - 670 = 3 (x - 60)$

Step 2

Simplify $3 (x - 60)$ .

Apply the distributive property.

$5 x - 670 = 3 x + 3 \cdot - 60$

Multiply $3$ by $- 60$ .

$5 x - 670 = 3 x - 180$

Step 3

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

Subtract $3 x$ from both sides of the equation.

$5 x - 670 - 3 x = - 180$

Subtract $3 x$ from $5 x$ .

$2 x - 670 = - 180$

Step 4

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

Add $670$ to both sides of the equation.

$2 x = - 180 + 670$

Add $- 180$ and $670$ .

$2 x = 490$

Step 5

Divide each term in $2 x = 490$ by $2$ and simplify.

Divide each term in $2 x = 490$ by $2$ .

$\frac{2 x}{2} = \frac{490}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{490}{2}$

Divide $x$ by $1$ .

$x = \frac{490}{2}$

Simplify the right side.

Divide $490$ by $2$ .

$x = 245$