Solve x-2x-5/12=3x-1/4

$$x - \frac { 2 x - 5 } { 12 } = \frac { 3 x - 1 } { 4 }$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 12,4.

$$12x-\left(2x-5\right)=3\left(3x-1\right)$$

To find the opposite of 2x-5, find the opposite of each term.

$$12x-2x-\left(-5\right)=3\left(3x-1\right)$$

The opposite of -5 is 5.

$$12x-2x+5=3\left(3x-1\right)$$

Combine 12x and -2x to get 10x.

$$10x+5=3\left(3x-1\right)$$

Use the distributive property to multiply 3 by 3x-1.

$$10x+5=9x-3$$

Subtract 9x from both sides.

$$10x+5-9x=-3$$

Combine 10x and -9x to get x.

$$x+5=-3$$

Subtract 5 from both sides.

$$x=-3-5$$

Subtract 5 from -3 to get -8.

$$x=-8$$