Solve x-1/2+1=1/5x

$$\frac{ x-1 }{ 2 } +1 = \frac{ 1 }{ 5 } x$$

Solve for x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 5 by x-1.

$$5x-5+10=2x$$

Add -5 and 10 to get 5.

$$5x+5=2x$$

Subtract 2x from both sides.

$$5x+5-2x=0$$

Combine 5x and -2x to get 3x.

$$3x+5=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$3x=-5$$

Divide both sides by 3.

$$x=\frac{-5}{3}$$

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$x=-\frac{5}{3}$$