Solve 3x+2/2-1=2x-1/4-2x+1/5

$$\frac{ 3x+2 }{ 2 } -1 = \frac{ 2x-1 }{ 4 } - \frac{ 2x+1 }{ 5 }$$

Solve for x

$$x=-\frac{9}{28}\approx -0.321428571$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 2,4,5.

$$10\left(3x+2\right)-20=5\left(2x-1\right)-4\left(2x+1\right)$$

Use the distributive property to multiply 10 by 3x+2.

$$30x+20-20=5\left(2x-1\right)-4\left(2x+1\right)$$

Subtract 20 from 20 to get 0.

$$30x=5\left(2x-1\right)-4\left(2x+1\right)$$

Use the distributive property to multiply 5 by 2x-1.

$$30x=10x-5-4\left(2x+1\right)$$

Use the distributive property to multiply -4 by 2x+1.

$$30x=10x-5-8x-4$$

Combine 10x and -8x to get 2x.

$$30x=2x-5-4$$

Subtract 4 from -5 to get -9.

$$30x=2x-9$$

Subtract 2x from both sides.

$$30x-2x=-9$$

Combine 30x and -2x to get 28x.

$$28x=-9$$

Divide both sides by 28.

$$x=\frac{-9}{28}$$

Fraction \frac{-9}{28} can be rewritten as -\frac{9}{28} by extracting the negative sign.

$$x=-\frac{9}{28}$$