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

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

Solve for x

$$x=-\frac{14}{45}\approx -0.311111111$$

Steps for Solving Linear Equation

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

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

Combine -8x and \frac{1}{2}x to get -\frac{15}{2}x.

$$\frac{2}{3}-\frac{15}{2}x=3$$

Subtract \frac{2}{3} from both sides.

$$-\frac{15}{2}x=3-\frac{2}{3}$$

Convert 3 to fraction \frac{9}{3}.

$$-\frac{15}{2}x=\frac{9}{3}-\frac{2}{3}$$

Since \frac{9}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{15}{2}x=\frac{9-2}{3}$$

Subtract 2 from 9 to get 7.

$$-\frac{15}{2}x=\frac{7}{3}$$

Multiply both sides by -\frac{2}{15}, the reciprocal of -\frac{15}{2}.

$$x=\frac{7}{3}\left(-\frac{2}{15}\right)$$

Multiply \frac{7}{3} times -\frac{2}{15} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\left(-2\right)}{3\times 15}$$

Do the multiplications in the fraction \frac{7\left(-2\right)}{3\times 15}.

$$x=\frac{-14}{45}$$

Fraction \frac{-14}{45} can be rewritten as -\frac{14}{45} by extracting the negative sign.

$$x=-\frac{14}{45}$$