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

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

Solve for x

$$x = \frac{53}{25} = 2\frac{3}{25} = 2.12$$

Steps for Solving Linear Equation

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

$$8\left(1-2x\right)=3\left(3x+1\right)-48$$

Use the distributive property to multiply 8 by 1-2x.

$$8-16x=3\left(3x+1\right)-48$$

Use the distributive property to multiply 3 by 3x+1.

$$8-16x=9x+3-48$$

Subtract 48 from 3 to get -45.

$$8-16x=9x-45$$

Subtract 9x from both sides.

$$8-16x-9x=-45$$

Combine -16x and -9x to get -25x.

$$8-25x=-45$$

Subtract 8 from both sides.

$$-25x=-45-8$$

Subtract 8 from -45 to get -53.

$$-25x=-53$$

Divide both sides by -25.

$$x=\frac{-53}{-25}$$

Fraction \frac{-53}{-25} can be simplified to \frac{53}{25} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{53}{25}$$