Solve 5-x/2+4(x-1)=2x-3x+1/2

$$\frac { 5 - x } { 2 } + 4 ( x - 1 ) = 2 x - \frac { 3 x + 1 } { 2 }$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$5-x+8\left(x-1\right)=4x-\left(3x+1\right)$$

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

$$5-x+8x-8=4x-\left(3x+1\right)$$

Combine -x and 8x to get 7x.

$$5+7x-8=4x-\left(3x+1\right)$$

Subtract 8 from 5 to get -3.

$$-3+7x=4x-\left(3x+1\right)$$

To find the opposite of 3x+1, find the opposite of each term.

$$-3+7x=4x-3x-1$$

Combine 4x and -3x to get x.

$$-3+7x=x-1$$

Subtract x from both sides.

$$-3+7x-x=-1$$

Combine 7x and -x to get 6x.

$$-3+6x=-1$$

Add 3 to both sides.

$$6x=-1+3$$

Add -1 and 3 to get 2.

$$6x=2$$

Divide both sides by 6.

$$x=\frac{2}{6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{3}$$