Solve 10(x+1)-5(x-2)=1

$$10(x+1)-5(x-2)=1$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by x+1.

$$10x+10-5\left(x-2\right)=1$$

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

$$10x+10-5x+10=1$$

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

$$5x+10+10=1$$

Add 10 and 10 to get 20.

$$5x+20=1$$

Subtract 20 from both sides.

$$5x=1-20$$

Subtract 20 from 1 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.

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