Solve 2/3-8x=31/2x

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

Solve for x

$$x=\frac{4}{69}\approx 0.057971014$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$4-48x=3\left(3\times 2+1\right)x$$

Multiply 3 and 2 to get 6.

$$4-48x=3\left(6+1\right)x$$

Add 6 and 1 to get 7.

$$4-48x=3\times 7x$$

Multiply 3 and 7 to get 21.

$$4-48x=21x$$

Subtract 21x from both sides.

$$4-48x-21x=0$$

Combine -48x and -21x to get -69x.

$$4-69x=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-69x=-4$$

Divide both sides by -69.

$$x=\frac{-4}{-69}$$

Fraction \frac{-4}{-69} can be simplified to \frac{4}{69} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{69}$$