Solve 3x+-(2x-5)=13-2(x+2)

$$3x+-(2x-5)=13-2(x+2)$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

To find the opposite of 2x-5, find the opposite of each term.

$$3x-2x-\left(-5\right)=13-2\left(x+2\right)$$

The opposite of -5 is 5.

$$3x-2x+5=13-2\left(x+2\right)$$

Combine 3x and -2x to get x.

$$x+5=13-2\left(x+2\right)$$

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

$$x+5=13-2x-4$$

Subtract 4 from 13 to get 9.

$$x+5=9-2x$$

Add 2x to both sides.

$$x+5+2x=9$$

Combine x and 2x to get 3x.

$$3x+5=9$$

Subtract 5 from both sides.

$$3x=9-5$$

Subtract 5 from 9 to get 4.

$$3x=4$$

Divide both sides by 3.

$$x=\frac{4}{3}$$