Solve (x+4)-(3x-2)=5

$$( x + 4 ) - ( 3 x - 2 ) = 5$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

To find the opposite of 3x-2, find the opposite of each term.

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

The opposite of -2 is 2.

$$x+4-3x+2=5$$

Combine x and -3x to get -2x.

$$-2x+4+2=5$$

Add 4 and 2 to get 6.

$$-2x+6=5$$

Subtract 6 from both sides.

$$-2x=5-6$$

Subtract 6 from 5 to get -1.

$$-2x=-1$$

Divide both sides by -2.

$$x=\frac{-1}{-2}$$

Fraction \frac{-1}{-2} can be simplified to \frac{1}{2} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{2}$$