Solve 2/6x+4left(1+3/4xright)=5

$$\frac{ 2 }{ 6 } x+4 \left( 1+ \frac{ 3 }{ 4 } x \right) = 5$$

Solve for x

$$x=\frac{3}{10}=0.3$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}x+4\left(1+\frac{3}{4}x\right)=5$$

Use the distributive property to multiply 4 by 1+\frac{3}{4}x.

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

Cancel out 4 and 4.

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

Combine \frac{1}{3}x and 3x to get \frac{10}{3}x.

$$\frac{10}{3}x+4=5$$

Subtract 4 from both sides.

$$\frac{10}{3}x=5-4$$

Subtract 4 from 5 to get 1.

$$\frac{10}{3}x=1$$

Multiply both sides by \frac{3}{10}, the reciprocal of \frac{10}{3}.

$$x=1\times \frac{3}{10}$$

Multiply 1 and \frac{3}{10} to get \frac{3}{10}.

$$x=\frac{3}{10}$$