Evaluate (4x)/5=(2x+58)/3

$\frac{4 x}{5} = \frac{2 x + 58}{3}$

Step 1

Multiply both sides by $5$ .

$\frac{4 x}{5} \cdot 5 = \frac{2 x + 58}{3} \cdot 5$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{4 x}{5} \cdot 5 = \frac{2 x + 58}{3} \cdot 5$

Rewrite the expression.

$4 x = \frac{2 x + 58}{3} \cdot 5$

Simplify the right side.

Simplify $\frac{2 x + 58}{3} \cdot 5$ .

Factor $2$ out of $2 x + 58$ .

Factor $2$ out of $2 x$ .

$4 x = \frac{2 (x) + 58}{3} \cdot 5$

Factor $2$ out of $58$ .

$4 x = \frac{2 x + 2 \cdot 29}{3} \cdot 5$

Factor $2$ out of $2 x + 2 \cdot 29$ .

$4 x = \frac{2 (x + 29)}{3} \cdot 5$

Multiply $\frac{2 (x + 29)}{3} \cdot 5$ .

Combine $\frac{2 (x + 29)}{3}$ and $5$ .

$4 x = \frac{2 (x + 29) \cdot 5}{3}$

Multiply $5$ by $2$ .

$4 x = \frac{10 (x + 29)}{3}$

Step 3

Solve for $x$ .

Multiply both sides by $3$ .

$4 x \cdot 3 = \frac{10 (x + 29)}{3} \cdot 3$

Simplify.

Simplify the left side.

Multiply $3$ by $4$ .

$12 x = \frac{10 (x + 29)}{3} \cdot 3$

Simplify the right side.

Simplify $\frac{10 (x + 29)}{3} \cdot 3$ .

Cancel the common factor of $3$ .

Cancel the common factor.

$12 x = \frac{10 (x + 29)}{3} \cdot 3$

Rewrite the expression.

$12 x = 10 (x + 29)$

Apply the distributive property.

$12 x = 10 x + 10 \cdot 29$

Multiply $10$ by $29$ .

$12 x = 10 x + 290$

Solve for $x$ .

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

Subtract $10 x$ from both sides of the equation.

$12 x - 10 x = 290$

Subtract $10 x$ from $12 x$ .

$2 x = 290$

Divide each term in $2 x = 290$ by $2$ and simplify.

Divide each term in $2 x = 290$ by $2$ .

$\frac{2 x}{2} = \frac{290}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{290}{2}$

Divide $x$ by $1$ .

$x = \frac{290}{2}$

Simplify the right side.

Divide $290$ by $2$ .

$x = 145$

Evaluate (4x)/5=(2x+58)/3

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