Solve 7(128x-1)/x-1=1785

$$\frac { 7 ( 128 x - 1 ) } { x - 1 } = 1785$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by x-1.

$$7\left(128x-1\right)=1785\left(x-1\right)$$

Use the distributive property to multiply 7 by 128x-1.

$$896x-7=1785\left(x-1\right)$$

Use the distributive property to multiply 1785 by x-1.

$$896x-7=1785x-1785$$

Subtract 1785x from both sides.

$$896x-7-1785x=-1785$$

Combine 896x and -1785x to get -889x.

$$-889x-7=-1785$$

Add 7 to both sides.

$$-889x=-1785+7$$

Add -1785 and 7 to get -1778.

$$-889x=-1778$$

Divide both sides by -889.

$$x=\frac{-1778}{-889}$$

Divide -1778 by -889 to get 2.

$$x=2$$