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

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

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 4 by x+2.

$$4x+8=5-\left(2-x\right)$$

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

$$4x+8=5-2-\left(-x\right)$$

The opposite of -x is x.

$$4x+8=5-2+x$$

Subtract 2 from 5 to get 3.

$$4x+8=3+x$$

Subtract x from both sides.

$$4x+8-x=3$$

Combine 4x and -x to get 3x.

$$3x+8=3$$

Subtract 8 from both sides.

$$3x=3-8$$

Subtract 8 from 3 to get -5.

$$3x=-5$$

Divide both sides by 3.

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

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

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