Solve 3(x-1)/3+10(x+1)/5=2x+1/4

$$\frac { 3 ( x - 1 ) } { 3 } + \frac { 10 ( x + 1 ) } { 5 } = 2 x + \frac { 1 } { 4 }$$

Solve for x

$$x=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

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

$$20\times 3\left(x-1\right)+12\times 10\left(x+1\right)=120x+15$$

Multiply 20 and 3 to get 60.

$$60\left(x-1\right)+12\times 10\left(x+1\right)=120x+15$$

Use the distributive property to multiply 60 by x-1.

$$60x-60+12\times 10\left(x+1\right)=120x+15$$

Multiply 12 and 10 to get 120.

$$60x-60+120\left(x+1\right)=120x+15$$

Use the distributive property to multiply 120 by x+1.

$$60x-60+120x+120=120x+15$$

Combine 60x and 120x to get 180x.

$$180x-60+120=120x+15$$

Add -60 and 120 to get 60.

$$180x+60=120x+15$$

Subtract 120x from both sides.

$$180x+60-120x=15$$

Combine 180x and -120x to get 60x.

$$60x+60=15$$

Subtract 60 from both sides.

$$60x=15-60$$

Subtract 60 from 15 to get -45.

$$60x=-45$$

Divide both sides by 60.

$$x=\frac{-45}{60}$$

Reduce the fraction \frac{-45}{60} to lowest terms by extracting and canceling out 15.

$$x=-\frac{3}{4}$$