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

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

Solve for x

$$x = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

Steps for Solving Linear Equation

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

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

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

$$2x-2-12+6x=4$$

Subtract 12 from -2 to get -14.

$$2x-14+6x=4$$

Combine 2x and 6x to get 8x.

$$8x-14=4$$

Add 14 to both sides.

$$8x=4+14$$

Add 4 and 14 to get 18.

$$8x=18$$

Divide both sides by 8.

$$x=\frac{18}{8}$$

Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{4}$$