Solve 2-2(x-3/2-x+4/4=3

$$\frac { 2 - 2 ( x - 3 } { 2 } - \frac { x + 4 } { 4 } = 3$$

Solve for x

$$x=\frac{4}{5}=0.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$8-2\times 2\left(x-3\right)-\left(x+4\right)=12$$

Multiply -2 and 2 to get -4.

$$8-4\left(x-3\right)-\left(x+4\right)=12$$

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

$$8-4x+12-\left(x+4\right)=12$$

Add 8 and 12 to get 20.

$$20-4x-\left(x+4\right)=12$$

To find the opposite of x+4, find the opposite of each term.

$$20-4x-x-4=12$$

Combine -4x and -x to get -5x.

$$20-5x-4=12$$

Subtract 4 from 20 to get 16.

$$16-5x=12$$

Subtract 16 from both sides.

$$-5x=12-16$$

Subtract 16 from 12 to get -4.

$$-5x=-4$$

Divide both sides by -5.

$$x=\frac{-4}{-5}$$

Fraction \frac{-4}{-5} can be simplified to \frac{4}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{4}{5}$$