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

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

Solve for x

$$x = \frac{8}{7} = 1\frac{1}{7} \approx 1.142857143$$

Steps for Solving Linear Equation

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

$$3\left(4-x\right)-2\left(2x-1\right)=6$$

Use the distributive property to multiply 3 by 4-x.

$$12-3x-2\left(2x-1\right)=6$$

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

$$12-3x-4x+2=6$$

Combine -3x and -4x to get -7x.

$$12-7x+2=6$$

Add 12 and 2 to get 14.

$$14-7x=6$$

Subtract 14 from both sides.

$$-7x=6-14$$

Subtract 14 from 6 to get -8.

$$-7x=-8$$

Divide both sides by -7.

$$x=\frac{-8}{-7}$$

Fraction \frac{-8}{-7} can be simplified to \frac{8}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{7}$$