Solve 3(x-7)-(5x-11)=14

$$3 ( x - 7 ) - ( 5 x - 11 ) = 14$$

Solve for x

$$x=-12$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-7.

$$3x-21-\left(5x-11\right)=14$$

To find the opposite of 5x-11, find the opposite of each term.

$$3x-21-5x-\left(-11\right)=14$$

The opposite of -11 is 11.

$$3x-21-5x+11=14$$

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

$$-2x-21+11=14$$

Add -21 and 11 to get -10.

$$-2x-10=14$$

Add 10 to both sides.

$$-2x=14+10$$

Add 14 and 10 to get 24.

$$-2x=24$$

Divide both sides by -2.

$$x=\frac{24}{-2}$$

Divide 24 by -2 to get -12.

$$x=-12$$