Solve (42x+37)-(26-34x)=26x+211

$$( 42 x + 37 ) - ( 26 - 34 x ) = 26 x + 211$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

To find the opposite of 26-34x, find the opposite of each term.

$$42x+37-26-\left(-34x\right)=26x+211$$

The opposite of -34x is 34x.

$$42x+37-26+34x=26x+211$$

Subtract 26 from 37 to get 11.

$$42x+11+34x=26x+211$$

Combine 42x and 34x to get 76x.

$$76x+11=26x+211$$

Subtract 26x from both sides.

$$76x+11-26x=211$$

Combine 76x and -26x to get 50x.

$$50x+11=211$$

Subtract 11 from both sides.

$$50x=211-11$$

Subtract 11 from 211 to get 200.

$$50x=200$$

Divide both sides by 50.

$$x=\frac{200}{50}$$

Divide 200 by 50 to get 4.

$$x=4$$