Solve 3x-25=2-[40-(5x+1)]

$$3 x - 25 = 2 - [ 40 - ( 5 x + 1 ) ]$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

To find the opposite of 5x+1, find the opposite of each term.

$$3x-25=2-\left(40-5x-1\right)$$

Subtract 1 from 40 to get 39.

$$3x-25=2-\left(39-5x\right)$$

To find the opposite of 39-5x, find the opposite of each term.

$$3x-25=2-39-\left(-5x\right)$$

The opposite of -5x is 5x.

$$3x-25=2-39+5x$$

Subtract 39 from 2 to get -37.

$$3x-25=-37+5x$$

Subtract 5x from both sides.

$$3x-25-5x=-37$$

Combine 3x and -5x to get -2x.

$$-2x-25=-37$$

Add 25 to both sides.

$$-2x=-37+25$$

Add -37 and 25 to get -12.

$$-2x=-12$$

Divide both sides by -2.

$$x=\frac{-12}{-2}$$

Divide -12 by -2 to get 6.

$$x=6$$