Solve x-1/3+x+6/7=-9

$$\frac { x - 1 } { 3 } + \frac { x + 6 } { 7 } = - 9$$

Solve for x

$$x=-20$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7\left(x-1\right)+3\left(x+6\right)=-189$$

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

$$7x-7+3\left(x+6\right)=-189$$

Use the distributive property to multiply 3 by x+6.

$$7x-7+3x+18=-189$$

Combine 7x and 3x to get 10x.

$$10x-7+18=-189$$

Add -7 and 18 to get 11.

$$10x+11=-189$$

Subtract 11 from both sides.

$$10x=-189-11$$

Subtract 11 from -189 to get -200.

$$10x=-200$$

Divide both sides by 10.

$$x=\frac{-200}{10}$$

Divide -200 by 10 to get -20.

$$x=-20$$