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

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

Solve for x

$$x=-54$$

Steps for Solving Linear Equation

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

$$4\left(x-1\right)=10\left(5-x\right)+5\times 3x$$

Use the distributive property to multiply 4 by x-1.

$$4x-4=10\left(5-x\right)+5\times 3x$$

Use the distributive property to multiply 10 by 5-x.

$$4x-4=50-10x+5\times 3x$$

Multiply 5 and 3 to get 15.

$$4x-4=50-10x+15x$$

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

$$4x-4=50+5x$$

Subtract 5x from both sides.

$$4x-4-5x=50$$

Combine 4x and -5x to get -x.

$$-x-4=50$$

Add 4 to both sides.

$$-x=50+4$$

Add 50 and 4 to get 54.

$$-x=54$$

Multiply both sides by -1.

$$x=-54$$