Solve 5x/3-(x-1)/4=(x-3)/5

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

Solve for x

$$x=-\frac{51}{73}\approx -0.698630137$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 3,4,5.

$$20\times 5x-15\left(x-1\right)=12\left(x-3\right)$$

Multiply 20 and 5 to get 100.

$$100x-15\left(x-1\right)=12\left(x-3\right)$$

Use the distributive property to multiply -15 by x-1.

$$100x-15x+15=12\left(x-3\right)$$

Combine 100x and -15x to get 85x.

$$85x+15=12\left(x-3\right)$$

Use the distributive property to multiply 12 by x-3.

$$85x+15=12x-36$$

Subtract 12x from both sides.

$$85x+15-12x=-36$$

Combine 85x and -12x to get 73x.

$$73x+15=-36$$

Subtract 15 from both sides.

$$73x=-36-15$$

Subtract 15 from -36 to get -51.

$$73x=-51$$

Divide both sides by 73.

$$x=\frac{-51}{73}$$

Fraction \frac{-51}{73} can be rewritten as -\frac{51}{73} by extracting the negative sign.

$$x=-\frac{51}{73}$$