Solve 5(4x-7)-(3x-1)2=-5

$$5 ( 4 x - 7 ) - ( 3 x - 1 ) 2 = - 5$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 4x-7.

$$20x-35-\left(3x-1\right)\times 2=-5$$

Use the distributive property to multiply 3x-1 by 2.

$$20x-35-\left(6x-2\right)=-5$$

To find the opposite of 6x-2, find the opposite of each term.

$$20x-35-6x-\left(-2\right)=-5$$

The opposite of -2 is 2.

$$20x-35-6x+2=-5$$

Combine 20x and -6x to get 14x.

$$14x-35+2=-5$$

Add -35 and 2 to get -33.

$$14x-33=-5$$

Add 33 to both sides.

$$14x=-5+33$$

Add -5 and 33 to get 28.

$$14x=28$$

Divide both sides by 14.

$$x=\frac{28}{14}$$

Divide 28 by 14 to get 2.

$$x=2$$