Solve 24left(x+2right)/2+x+2/5=1/10

$$\frac{ 24 \left( x+2 \right) }{ 2 } + \frac{ x+2 }{ 5 } = \frac{ 1 }{ 10 }$$

Solve for x

$$x = -\frac{243}{122} = -1\frac{121}{122} \approx -1.991803279$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5,10.

$$5\times 24\left(x+2\right)+2\left(x+2\right)=1$$

Multiply 5 and 24 to get 120.

$$120\left(x+2\right)+2\left(x+2\right)=1$$

Use the distributive property to multiply 120 by x+2.

$$120x+240+2\left(x+2\right)=1$$

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

$$120x+240+2x+4=1$$

Combine 120x and 2x to get 122x.

$$122x+240+4=1$$

Add 240 and 4 to get 244.

$$122x+244=1$$

Subtract 244 from both sides.

$$122x=1-244$$

Subtract 244 from 1 to get -243.

$$122x=-243$$

Divide both sides by 122.

$$x=\frac{-243}{122}$$

Fraction \frac{-243}{122} can be rewritten as -\frac{243}{122} by extracting the negative sign.

$$x=-\frac{243}{122}$$