Solve 13x-1/4-4-2x/8=x-3/2

$$\frac { 13 x - 1 } { 4 } - \frac { 4 - 2 x } { 8 } = \frac { x - 3 } { 2 }$$

Solve for x

$$x=-\frac{1}{4}=-0.25$$

Steps for Solving Linear Equation

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

$$2\left(13x-1\right)-\left(4-2x\right)=4\left(x-3\right)$$

Use the distributive property to multiply 2 by 13x-1.

$$26x-2-\left(4-2x\right)=4\left(x-3\right)$$

To find the opposite of 4-2x, find the opposite of each term.

$$26x-2-4-\left(-2x\right)=4\left(x-3\right)$$

The opposite of -2x is 2x.

$$26x-2-4+2x=4\left(x-3\right)$$

Subtract 4 from -2 to get -6.

$$26x-6+2x=4\left(x-3\right)$$

Combine 26x and 2x to get 28x.

$$28x-6=4\left(x-3\right)$$

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

$$28x-6=4x-12$$

Subtract 4x from both sides.

$$28x-6-4x=-12$$

Combine 28x and -4x to get 24x.

$$24x-6=-12$$

Add 6 to both sides.

$$24x=-12+6$$

Add -12 and 6 to get -6.

$$24x=-6$$

Divide both sides by 24.

$$x=\frac{-6}{24}$$

Reduce the fraction \frac{-6}{24} to lowest terms by extracting and canceling out 6.

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