Solve 71+[-5x+(-2x+3)]=25-[-(3x+4)-(4x+3)]

$$71 + [ - 5 x + ( - 2 x + 3 ) ] = 25 - [ - ( 3 x + 4 ) - ( 4 x + 3 ) ]$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$71-7x+3=25-\left(-\left(3x+4\right)-\left(4x+3\right)\right)$$

Add 71 and 3 to get 74.

$$74-7x=25-\left(-\left(3x+4\right)-\left(4x+3\right)\right)$$

To find the opposite of 3x+4, find the opposite of each term.

$$74-7x=25-\left(-3x-4-\left(4x+3\right)\right)$$

To find the opposite of 4x+3, find the opposite of each term.

$$74-7x=25-\left(-3x-4-4x-3\right)$$

Combine -3x and -4x to get -7x.

$$74-7x=25-\left(-7x-4-3\right)$$

Subtract 3 from -4 to get -7.

$$74-7x=25-\left(-7x-7\right)$$

To find the opposite of -7x-7, find the opposite of each term.

$$74-7x=25-\left(-7x\right)-\left(-7\right)$$

The opposite of -7x is 7x.

$$74-7x=25+7x-\left(-7\right)$$

The opposite of -7 is 7.

$$74-7x=25+7x+7$$

Add 25 and 7 to get 32.

$$74-7x=32+7x$$

Subtract 7x from both sides.

$$74-7x-7x=32$$

Combine -7x and -7x to get -14x.

$$74-14x=32$$

Subtract 74 from both sides.

$$-14x=32-74$$

Subtract 74 from 32 to get -42.

$$-14x=-42$$

Divide both sides by -14.

$$x=\frac{-42}{-14}$$

Divide -42 by -14 to get 3.

$$x=3$$