Solve for x 3/5(x+4/3)=1.04

$\frac{3}{5} (x + \frac{4}{3}) = 1.04$

Step 1

Multiply both sides of the equation by $\frac{5}{3}$ .

$\frac{5}{3} (\frac{3}{5} \cdot (x + \frac{4}{3})) = \frac{5}{3} \cdot 1.04$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{3} (\frac{3}{5} \cdot (x + \frac{4}{3}))$ .

Apply the distributive property.

$\frac{5}{3} (\frac{3}{5} x + \frac{3}{5} \cdot \frac{4}{3}) = \frac{5}{3} \cdot 1.04$

Combine $\frac{3}{5}$ and $x$ .

$\frac{5}{3} (\frac{3 x}{5} + \frac{3}{5} \cdot \frac{4}{3}) = \frac{5}{3} \cdot 1.04$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{5}{3} (\frac{3 x}{5} + \frac{3}{5} \cdot \frac{4}{3}) = \frac{5}{3} \cdot 1.04$

Rewrite the expression.

$\frac{5}{3} (\frac{3 x}{5} + \frac{1}{5} \cdot 4) = \frac{5}{3} \cdot 1.04$

Combine $\frac{1}{5}$ and $4$ .

$\frac{5}{3} (\frac{3 x}{5} + \frac{4}{5}) = \frac{5}{3} \cdot 1.04$

Apply the distributive property.

$\frac{5}{3} \cdot \frac{3 x}{5} + \frac{5}{3} \cdot \frac{4}{5} = \frac{5}{3} \cdot 1.04$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3 x}{5} + \frac{5}{3} \cdot \frac{4}{5} = \frac{5}{3} \cdot 1.04$

Rewrite the expression.

$\frac{1}{3} (3 x) + \frac{5}{3} \cdot \frac{4}{5} = \frac{5}{3} \cdot 1.04$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{1}{3} (3 (x)) + \frac{5}{3} \cdot \frac{4}{5} = \frac{5}{3} \cdot 1.04$

Cancel the common factor.

$\frac{1}{3} (3 x) + \frac{5}{3} \cdot \frac{4}{5} = \frac{5}{3} \cdot 1.04$

Rewrite the expression.

$x + \frac{5}{3} \cdot \frac{4}{5} = \frac{5}{3} \cdot 1.04$

Cancel the common factor of $5$ .

Cancel the common factor.

$x + \frac{5}{3} \cdot \frac{4}{5} = \frac{5}{3} \cdot 1.04$

Rewrite the expression.

$x + \frac{1}{3} \cdot 4 = \frac{5}{3} \cdot 1.04$

Combine $\frac{1}{3}$ and $4$ .

$x + \frac{4}{3} = \frac{5}{3} \cdot 1.04$

Simplify the right side.

Simplify $\frac{5}{3} \cdot 1.04$ .

Multiply $\frac{5}{3} \cdot 1.04$ .

Combine $\frac{5}{3}$ and $1.04$ .

$x + \frac{4}{3} = \frac{5 \cdot 1.04}{3}$

Multiply $5$ by $1.04$ .

$x + \frac{4}{3} = \frac{5.2}{3}$

Divide $5.2$ by $3$ .

$x + \frac{4}{3} = 1.7\overline{3}$

Step 3

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

Subtract $\frac{4}{3}$ from both sides of the equation.

$x = 1.7\overline{3} - \frac{4}{3}$

To write $1.7\overline{3}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$x = 1.7\overline{3} \cdot \frac{3}{3} - \frac{4}{3}$

Combine $1.7\overline{3}$ and $\frac{3}{3}$ .

$x = \frac{1.7\overline{3} \cdot 3}{3} - \frac{4}{3}$

Combine the numerators over the common denominator.

$x = \frac{1.7\overline{3} \cdot 3 - 4}{3}$

Simplify the numerator.

Multiply $1.7\overline{3}$ by $3$ .

$x = \frac{5.1\overline{9} - 4}{3}$

Subtract $4$ from $5.1\overline{9}$ .

$x = \frac{1.1\overline{9}}{3}$

Divide $1.1\overline{9}$ by $3$ .

$x = 0.4$

Solve for x 3/5(x+4/3)=1.04

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