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

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

Solve for x

$$x=-33$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,2,5.

$$5\left(3x-1\right)-10\left(x-1\right)=4\left(x-2\right)-20$$

Use the distributive property to multiply 5 by 3x-1.

$$15x-5-10\left(x-1\right)=4\left(x-2\right)-20$$

Use the distributive property to multiply -10 by x-1.

$$15x-5-10x+10=4\left(x-2\right)-20$$

Combine 15x and -10x to get 5x.

$$5x-5+10=4\left(x-2\right)-20$$

Add -5 and 10 to get 5.

$$5x+5=4\left(x-2\right)-20$$

Use the distributive property to multiply 4 by x-2.

$$5x+5=4x-8-20$$

Subtract 20 from -8 to get -28.

$$5x+5=4x-28$$

Subtract 4x from both sides.

$$5x+5-4x=-28$$

Combine 5x and -4x to get x.

$$x+5=-28$$

Subtract 5 from both sides.

$$x=-28-5$$

Subtract 5 from -28 to get -33.

$$x=-33$$