Solve 5-[7x-(5x-30)]=-125

$$5 - [ 7 x - ( 5 x - 30 ) ] = - 125$$

Solve for x

$$x=50$$

Steps for Solving Linear Equation

To find the opposite of 5x-30, find the opposite of each term.

$$5-\left(7x-5x-\left(-30\right)\right)=-125$$

The opposite of -30 is 30.

$$5-\left(7x-5x+30\right)=-125$$

Combine 7x and -5x to get 2x.

$$5-\left(2x+30\right)=-125$$

To find the opposite of 2x+30, find the opposite of each term.

$$5-2x-30=-125$$

Subtract 30 from 5 to get -25.

$$-25-2x=-125$$

Add 25 to both sides.

$$-2x=-125+25$$

Add -125 and 25 to get -100.

$$-2x=-100$$

Divide both sides by -2.

$$x=\frac{-100}{-2}$$

Divide -100 by -2 to get 50.

$$x=50$$