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

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

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

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

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

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

$$2x-2=8x-12$$

Subtract 8x from both sides.

$$2x-2-8x=-12$$

Combine 2x and -8x to get -6x.

$$-6x-2=-12$$

Add 2 to both sides.

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

Add -12 and 2 to get -10.

$$-6x=-10$$

Divide both sides by -6.

$$x=\frac{-10}{-6}$$

Reduce the fraction \frac{-10}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{5}{3}$$