Solve for x c=2/5(x-3)

$c = \frac{2}{5} (x - 3)$

Step 1

Rewrite the equation as $\frac{2}{5} \cdot (x - 3) = c$ .

$\frac{2}{5} \cdot (x - 3) = c$

Step 2

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} (\frac{2}{5} \cdot (x - 3)) = \frac{5}{2} c$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{2} (\frac{2}{5} \cdot (x - 3))$ .

Apply the distributive property.

$\frac{5}{2} (\frac{2}{5} x + \frac{2}{5} \cdot - 3) = \frac{5}{2} c$

Combine $\frac{2}{5}$ and $x$ .

$\frac{5}{2} (\frac{2 x}{5} + \frac{2}{5} \cdot - 3) = \frac{5}{2} c$

Multiply $\frac{2}{5} \cdot - 3$ .

Combine $\frac{2}{5}$ and $- 3$ .

$\frac{5}{2} (\frac{2 x}{5} + \frac{2 \cdot - 3}{5}) = \frac{5}{2} c$

Multiply $2$ by $- 3$ .

$\frac{5}{2} (\frac{2 x}{5} + \frac{- 6}{5}) = \frac{5}{2} c$

Move the negative in front of the fraction.

$\frac{5}{2} (\frac{2 x}{5} - \frac{6}{5}) = \frac{5}{2} c$

Apply the distributive property.

$\frac{5}{2} \cdot \frac{2 x}{5} + \frac{5}{2} (- \frac{6}{5}) = \frac{5}{2} c$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 x}{5} + \frac{5}{2} (- \frac{6}{5}) = \frac{5}{2} c$

Rewrite the expression.

$\frac{1}{2} (2 x) + \frac{5}{2} (- \frac{6}{5}) = \frac{5}{2} c$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) + \frac{5}{2} (- \frac{6}{5}) = \frac{5}{2} c$

Cancel the common factor.

$\frac{1}{2} (2 x) + \frac{5}{2} (- \frac{6}{5}) = \frac{5}{2} c$

Rewrite the expression.

$x + \frac{5}{2} (- \frac{6}{5}) = \frac{5}{2} c$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{6}{5}$ into the numerator.

$x + \frac{5}{2} \cdot \frac{- 6}{5} = \frac{5}{2} c$

Cancel the common factor.

$x + \frac{5}{2} \cdot \frac{- 6}{5} = \frac{5}{2} c$

Rewrite the expression.

$x + \frac{1}{2} \cdot - 6 = \frac{5}{2} c$

Cancel the common factor of $2$ .

Factor $2$ out of $- 6$ .

$x + \frac{1}{2} \cdot (2 (- 3)) = \frac{5}{2} c$

Cancel the common factor.

$x + \frac{1}{2} \cdot (2 \cdot - 3) = \frac{5}{2} c$

Rewrite the expression.

$x - 3 = \frac{5}{2} c$

Simplify the right side.

Combine $\frac{5}{2}$ and $c$ .

$x - 3 = \frac{5 c}{2}$

Step 4

Add $3$ to both sides of the equation.

$x = \frac{5 c}{2} + 3$

Solve for x c=2/5(x-3)

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