Solve 3x+2left(x+2right)=20-left(2x-5right)

$$3x+2 \left( x+2 \right) = 20- \left( 2x-5 \right)$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$3x+2x+4=20-\left(2x-5\right)$$

Combine 3x and 2x to get 5x.

$$5x+4=20-\left(2x-5\right)$$

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

$$5x+4=20-2x-\left(-5\right)$$

The opposite of -5 is 5.

$$5x+4=20-2x+5$$

Add 20 and 5 to get 25.

$$5x+4=25-2x$$

Add 2x to both sides.

$$5x+4+2x=25$$

Combine 5x and 2x to get 7x.

$$7x+4=25$$

Subtract 4 from both sides.

$$7x=25-4$$

Subtract 4 from 25 to get 21.

$$7x=21$$

Divide both sides by 7.

$$x=\frac{21}{7}$$

Divide 21 by 7 to get 3.

$$x=3$$