Solve 1/2x+1/3x=3/4

$$\frac { 1 } { 2 } x + \frac { 1 } { 3 } x = \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{9}{10}=0.9$$

Steps for Solving Linear Equation

Combine \frac{1}{2}x and \frac{1}{3}x to get \frac{5}{6}x.

$$\frac{5}{6}x=\frac{3}{4}$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x=\frac{3}{4}\times \frac{6}{5}$$

Multiply \frac{3}{4} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 6}{4\times 5}$$

Do the multiplications in the fraction \frac{3\times 6}{4\times 5}.

$$x=\frac{18}{20}$$

Reduce the fraction \frac{18}{20} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{10}$$