Solve x+3/35+x-1/7=x+1/5

$$\frac{ x+3 }{ 35 } + \frac{ x-1 }{ 7 } = \frac{ x+1 }{ 5 }$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 35,7,5.

$$x+3+5\left(x-1\right)=7\left(x+1\right)$$

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

$$x+3+5x-5=7\left(x+1\right)$$

Combine x and 5x to get 6x.

$$6x+3-5=7\left(x+1\right)$$

Subtract 5 from 3 to get -2.

$$6x-2=7\left(x+1\right)$$

Use the distributive property to multiply 7 by x+1.

$$6x-2=7x+7$$

Subtract 7x from both sides.

$$6x-2-7x=7$$

Combine 6x and -7x to get -x.

$$-x-2=7$$

Add 2 to both sides.

$$-x=7+2$$

Add 7 and 2 to get 9.

$$-x=9$$

Multiply both sides by -1.

$$x=-9$$