Solve 8(x-1)=8-4(2x-3

$$8 ( x - 1 ) = 8 - 4 ( 2 x - 3$$

Solve for x

$$x = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x-1.

$$8x-8=8-4\left(2x-3\right)$$

Use the distributive property to multiply -4 by 2x-3.

$$8x-8=8-8x+12$$

Add 8 and 12 to get 20.

$$8x-8=20-8x$$

Add 8x to both sides.

$$8x-8+8x=20$$

Combine 8x and 8x to get 16x.

$$16x-8=20$$

Add 8 to both sides.

$$16x=20+8$$

Add 20 and 8 to get 28.

$$16x=28$$

Divide both sides by 16.

$$x=\frac{28}{16}$$

Reduce the fraction \frac{28}{16} to lowest terms by extracting and canceling out 4.

$$x=\frac{7}{4}$$