Solve 1-2x-1/6=3x/8

$$1 - \frac { 2 x - 1 } { 6 } = \frac { 3 x } { 8 }$$

Solve for x

$$x = \frac{28}{17} = 1\frac{11}{17} \approx 1.647058824$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8.

$$24-4\left(2x-1\right)=3\times 3x$$

Use the distributive property to multiply -4 by 2x-1.

$$24-8x+4=3\times 3x$$

Add 24 and 4 to get 28.

$$28-8x=3\times 3x$$

Multiply 3 and 3 to get 9.

$$28-8x=9x$$

Subtract 9x from both sides.

$$28-8x-9x=0$$

Combine -8x and -9x to get -17x.

$$28-17x=0$$

Subtract 28 from both sides. Anything subtracted from zero gives its negation.

$$-17x=-28$$

Divide both sides by -17.

$$x=\frac{-28}{-17}$$

Fraction \frac{-28}{-17} can be simplified to \frac{28}{17} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{28}{17}$$