Solve -67/4=2x-3/2-x+1/4

$$- \frac { 67 } { 4 } = \frac { 2 x - 3 } { 2 } - \frac { x + 1 } { 4 }$$

Solve for x

$$x=-20$$

Steps for Solving Linear Equation

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

$$-67=2\left(2x-3\right)-\left(x+1\right)$$

Use the distributive property to multiply 2 by 2x-3.

$$-67=4x-6-\left(x+1\right)$$

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

$$-67=4x-6-x-1$$

Combine 4x and -x to get 3x.

$$-67=3x-6-1$$

Subtract 1 from -6 to get -7.

$$-67=3x-7$$

Swap sides so that all variable terms are on the left hand side.

$$3x-7=-67$$

Add 7 to both sides.

$$3x=-67+7$$

Add -67 and 7 to get -60.

$$3x=-60$$

Divide both sides by 3.

$$x=\frac{-60}{3}$$

Divide -60 by 3 to get -20.

$$x=-20$$