Solve 4/5*(3/4x+3)=4-2/5x

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

Solve for x

$$x = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{5} by \frac{3}{4}x+3.

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

Multiply \frac{4}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 4 in both numerator and denominator.

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

Express \frac{4}{5}\times 3 as a single fraction.

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

Multiply 4 and 3 to get 12.

$$\frac{3}{5}x+\frac{12}{5}=4-\frac{2}{5}x$$

Add \frac{2}{5}x to both sides.

$$\frac{3}{5}x+\frac{12}{5}+\frac{2}{5}x=4$$

Combine \frac{3}{5}x and \frac{2}{5}x to get x.

$$x+\frac{12}{5}=4$$

Subtract \frac{12}{5} from both sides.

$$x=4-\frac{12}{5}$$

Convert 4 to fraction \frac{20}{5}.

$$x=\frac{20}{5}-\frac{12}{5}$$

Since \frac{20}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{20-12}{5}$$

Subtract 12 from 20 to get 8.

$$x=\frac{8}{5}$$