Solve 1/2-3x/4=4x/3-1/8

$$\frac { 1 } { 2 } - \frac { 3 x } { 4 } = \frac { 4 x } { 3 } - \frac { 1 } { 8 }$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 2,4,3,8.

$$12-6\times 3x=8\times 4x-3$$

Multiply -6 and 3 to get -18.

$$12-18x=8\times 4x-3$$

Multiply 8 and 4 to get 32.

$$12-18x=32x-3$$

Subtract 32x from both sides.

$$12-18x-32x=-3$$

Combine -18x and -32x to get -50x.

$$12-50x=-3$$

Subtract 12 from both sides.

$$-50x=-3-12$$

Subtract 12 from -3 to get -15.

$$-50x=-15$$

Divide both sides by -50.

$$x=\frac{-15}{-50}$$

Reduce the fraction \frac{-15}{-50} to lowest terms by extracting and canceling out -5.

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