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

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

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

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

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

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

$$10-5x-15=2\left(2x-1\right)$$

Subtract 15 from 10 to get -5.

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

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

$$-5-5x=4x-2$$

Subtract 4x from both sides.

$$-5-5x-4x=-2$$

Combine -5x and -4x to get -9x.

$$-5-9x=-2$$

Add 5 to both sides.

$$-9x=-2+5$$

Add -2 and 5 to get 3.

$$-9x=3$$

Divide both sides by -9.

$$x=\frac{3}{-9}$$

Reduce the fraction \frac{3}{-9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{1}{3}$$