Solve 3-5x/7-x/4=1/2+5-4x/8

$$\frac{ 3-5x }{ 7 } - \frac{ x }{ 4 } = \frac{ 1 }{ 2 } + \frac{ 5-4x }{ 8 }$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 56, the least common multiple of 7,4,2,8.

$$8\left(3-5x\right)-14x=28+7\left(5-4x\right)$$

Use the distributive property to multiply 8 by 3-5x.

$$24-40x-14x=28+7\left(5-4x\right)$$

Combine -40x and -14x to get -54x.

$$24-54x=28+7\left(5-4x\right)$$

Use the distributive property to multiply 7 by 5-4x.

$$24-54x=28+35-28x$$

Add 28 and 35 to get 63.

$$24-54x=63-28x$$

Add 28x to both sides.

$$24-54x+28x=63$$

Combine -54x and 28x to get -26x.

$$24-26x=63$$

Subtract 24 from both sides.

$$-26x=63-24$$

Subtract 24 from 63 to get 39.

$$-26x=39$$

Divide both sides by -26.

$$x=\frac{39}{-26}$$

Reduce the fraction \frac{39}{-26} to lowest terms by extracting and canceling out 13.

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