Solve 8x-1/7+9x+7/2=9

$$\frac { 8 x - 1 } { 7 } + \frac { 9 x + 7 } { 2 } = 9$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,2.

$$2\left(8x-1\right)+7\left(9x+7\right)=126$$

Use the distributive property to multiply 2 by 8x-1.

$$16x-2+7\left(9x+7\right)=126$$

Use the distributive property to multiply 7 by 9x+7.

$$16x-2+63x+49=126$$

Combine 16x and 63x to get 79x.

$$79x-2+49=126$$

Add -2 and 49 to get 47.

$$79x+47=126$$

Subtract 47 from both sides.

$$79x=126-47$$

Subtract 47 from 126 to get 79.

$$79x=79$$

Divide both sides by 79.

$$x=\frac{79}{79}$$

Divide 79 by 79 to get 1.

$$x=1$$