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

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

Solve for x

$$x = -\frac{19}{5} = -3\frac{4}{5} = -3.8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+5.

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

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

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

Combine 4x and 2x to get 6x.

$$6x+20+4=x+5$$

Add 20 and 4 to get 24.

$$6x+24=x+5$$

Subtract x from both sides.

$$6x+24-x=5$$

Combine 6x and -x to get 5x.

$$5x+24=5$$

Subtract 24 from both sides.

$$5x=5-24$$

Subtract 24 from 5 to get -19.

$$5x=-19$$

Divide both sides by 5.

$$x=\frac{-19}{5}$$

Fraction \frac{-19}{5} can be rewritten as -\frac{19}{5} by extracting the negative sign.

$$x=-\frac{19}{5}$$