Solve 2(3x+5)-7+4x=5(x+2)+4

$$2 ( 3 x + 5 ) - 7 + 4 x = 5 ( x + 2 ) + 4$$

Solve for x

$$x = \frac{11}{5} = 2\frac{1}{5} = 2.2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x+5.

$$6x+10-7+4x=5\left(x+2\right)+4$$

Subtract 7 from 10 to get 3.

$$6x+3+4x=5\left(x+2\right)+4$$

Combine 6x and 4x to get 10x.

$$10x+3=5\left(x+2\right)+4$$

Use the distributive property to multiply 5 by x+2.

$$10x+3=5x+10+4$$

Add 10 and 4 to get 14.

$$10x+3=5x+14$$

Subtract 5x from both sides.

$$10x+3-5x=14$$

Combine 10x and -5x to get 5x.

$$5x+3=14$$

Subtract 3 from both sides.

$$5x=14-3$$

Subtract 3 from 14 to get 11.

$$5x=11$$

Divide both sides by 5.

$$x=\frac{11}{5}$$