Solve (-2)+45x-70(2x-10115x)=125x1

$$( - 2 ) + 45 x - 70 ( 2 x - 10115 x ) = 125 x 1$$

Solve for x

$$x=\frac{25x_{1}}{141591}+\frac{2}{707955}$$

Steps for Solving Linear Equation

Combine 2x and -10115x to get -10113x.

$$-2+45x-70\left(-10113\right)x=125x_{1}$$

Multiply 70 and -10113 to get -707910.

$$-2+45x-\left(-707910x\right)=125x_{1}$$

The opposite of -707910x is 707910x.

$$-2+45x+707910x=125x_{1}$$

Combine 45x and 707910x to get 707955x.

$$-2+707955x=125x_{1}$$

Add 2 to both sides.

$$707955x=125x_{1}+2$$

Divide both sides by 707955.

$$\frac{707955x}{707955}=\frac{125x_{1}+2}{707955}$$

Dividing by 707955 undoes the multiplication by 707955.

$$x=\frac{125x_{1}+2}{707955}$$

Divide 125x_{1}+2 by 707955.

$$x=\frac{25x_{1}}{141591}+\frac{2}{707955}$$

Solve for x_1

$$x_{1}=\frac{141591x}{25}-\frac{2}{125}$$

Steps for Solving Linear Equation

Combine 2x and -10115x to get -10113x.

$$-2+45x-70\left(-10113\right)x=125x_{1}$$

Multiply 70 and -10113 to get -707910.

$$-2+45x-\left(-707910x\right)=125x_{1}$$

The opposite of -707910x is 707910x.

$$-2+45x+707910x=125x_{1}$$

Combine 45x and 707910x to get 707955x.

$$-2+707955x=125x_{1}$$

Swap sides so that all variable terms are on the left hand side.

$$125x_{1}=-2+707955x$$

The equation is in standard form.

$$125x_{1}=707955x-2$$

Divide both sides by 125.

$$\frac{125x_{1}}{125}=\frac{707955x-2}{125}$$

Dividing by 125 undoes the multiplication by 125.

$$x_{1}=\frac{707955x-2}{125}$$

Divide -2+707955x by 125.

$$x_{1}=\frac{141591x}{25}-\frac{2}{125}$$