Solve 7(2x-1)-3(4x-1)=28-5(4x+2)

$$7 ( 2 x - 1 ) - 3 ( 4 x - 1 ) = 28 - 5 ( 4 x + 2 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 2x-1.

$$14x-7-3\left(4x-1\right)=28-5\left(4x+2\right)$$

Use the distributive property to multiply -3 by 4x-1.

$$14x-7-12x+3=28-5\left(4x+2\right)$$

Combine 14x and -12x to get 2x.

$$2x-7+3=28-5\left(4x+2\right)$$

Add -7 and 3 to get -4.

$$2x-4=28-5\left(4x+2\right)$$

Use the distributive property to multiply -5 by 4x+2.

$$2x-4=28-20x-10$$

Subtract 10 from 28 to get 18.

$$2x-4=18-20x$$

Add 20x to both sides.

$$2x-4+20x=18$$

Combine 2x and 20x to get 22x.

$$22x-4=18$$

Add 4 to both sides.

$$22x=18+4$$

Add 18 and 4 to get 22.

$$22x=22$$

Divide both sides by 22.

$$x=\frac{22}{22}$$

Divide 22 by 22 to get 1.

$$x=1$$