Solve 2/3x+8/4=34/6

$$\frac{ 2 }{ 3 } x+ \frac{ 8 }{ 4 } = \frac{ 34 }{ 6 }$$

Solve for x

$$x = \frac{11}{2} = 5\frac{1}{2} = 5.5$$

Steps for Solving Linear Equation

Divide 8 by 4 to get 2.

$$\frac{2}{3}x+2=\frac{34}{6}$$

Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}x+2=\frac{17}{3}$$

Subtract 2 from both sides.

$$\frac{2}{3}x=\frac{17}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{2}{3}x=\frac{17}{3}-\frac{6}{3}$$

Since \frac{17}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{17-6}{3}$$

Subtract 6 from 17 to get 11.

$$\frac{2}{3}x=\frac{11}{3}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=\frac{11}{3}\times \frac{3}{2}$$

Multiply \frac{11}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{11}{2}$$