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

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

Solve for x

$$x=-\frac{1}{24}\approx -0.041666667$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

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

Combine -8x and -2x to get -10x.

$$\frac{1}{3}-10x=\frac{3}{4}$$

Subtract \frac{1}{3} from both sides.

$$-10x=\frac{3}{4}-\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$-10x=\frac{9}{12}-\frac{4}{12}$$

Since \frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$-10x=\frac{9-4}{12}$$

Subtract 4 from 9 to get 5.

$$-10x=\frac{5}{12}$$

Divide both sides by -10.

$$x=\frac{\frac{5}{12}}{-10}$$

Express \frac{\frac{5}{12}}{-10} as a single fraction.

$$x=\frac{5}{12\left(-10\right)}$$

Multiply 12 and -10 to get -120.

$$x=\frac{5}{-120}$$

Reduce the fraction \frac{5}{-120} to lowest terms by extracting and canceling out 5.

$$x=-\frac{1}{24}$$