Solve 3-2x/2-10x+1/5=-1

$$\frac { 3 - 2 x } { 2 } - \frac { 10 x + 1 } { 5 } = - 1$$

Solve for x

$$x=\frac{23}{30}\approx 0.766666667$$

Steps for Solving Linear Equation

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

$$5\left(3-2x\right)-2\left(10x+1\right)=-10$$

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

$$15-10x-2\left(10x+1\right)=-10$$

Use the distributive property to multiply -2 by 10x+1.

$$15-10x-20x-2=-10$$

Combine -10x and -20x to get -30x.

$$15-30x-2=-10$$

Subtract 2 from 15 to get 13.

$$13-30x=-10$$

Subtract 13 from both sides.

$$-30x=-10-13$$

Subtract 13 from -10 to get -23.

$$-30x=-23$$

Divide both sides by -30.

$$x=\frac{-23}{-30}$$

Fraction \frac{-23}{-30} can be simplified to \frac{23}{30} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{23}{30}$$