Solve x+1/101+x+3/33+x+2/25+x+11/13+15=0

$$\frac{ x+1 }{ 101 } + \frac{ x+3 }{ 33 } + \frac{ x+2 }{ 25 } + \frac{ x+11 }{ 13 } +15=0$$

Solve for x

$$x=-102$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1083225, the least common multiple of 101,33,25,13.

$$10725\left(x+1\right)+32825\left(x+3\right)+43329\left(x+2\right)+83325\left(x+11\right)[phone]=0$$

Use the distributive property to multiply 10725 by x+1.

$$10725x+10725+32825\left(x+3\right)+43329\left(x+2\right)+83325\left(x+11\right)[phone]=0$$

Use the distributive property to multiply 32825 by x+3.

$$10725x+10725+32825x+98475+43329\left(x+2\right)+83325\left(x+11\right)[phone]=0$$

Combine 10725x and 32825x to get 43550x.

$$43550x+10725+98475+43329\left(x+2\right)+83325\left(x+11\right)[phone]=0$$

Add 10725 and 98475 to get 109200.

$$43550x+109200+43329\left(x+2\right)+83325\left(x+11\right)[phone]=0$$

Use the distributive property to multiply 43329 by x+2.

$$43550x+109200+43329x+86658+83325\left(x+11\right)[phone]=0$$

Combine 43550x and 43329x to get 86879x.

$$86879x+109200+86658+83325\left(x+11\right)[phone]=0$$

Add 109200 and 86658 to get 195858.

$$86879x+195858+83325\left(x+11\right)[phone]=0$$

Use the distributive property to multiply 83325 by x+11.

$$86879x+195858+83325x+916575+16248375=0$$

Combine 86879x and 83325x to get 170204x.

$$170204x+195858+916575+16248375=0$$

Add 195858 and 916575 to get 1112433.

$$170204x+1112433+16248375=0$$

Add 1112433 and 16248375 to get 17360808.

$$170204x+17360808=0$$

Subtract 17360808 from both sides. Anything subtracted from zero gives its negation.

$$170204x=-17360808$$

Divide both sides by 170204.

$$x=\frac{-17360808}{170204}$$

Divide -17360808 by 170204 to get -102.

$$x=-102$$