Solve 6x-1/2=3x+3/4

$$6 x - \frac { 1 } { 2 } = 3 x + \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{5}{12}\approx 0.416666667$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$6x-\frac{1}{2}-3x=\frac{3}{4}$$

Combine 6x and -3x to get 3x.

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

Add \frac{1}{2} to both sides.

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

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{3}{4} and \frac{2}{4} have the same denominator, add them by adding their numerators.

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

Add 3 and 2 to get 5.

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

Divide both sides by 3.

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

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

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

Multiply 4 and 3 to get 12.

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