Solve 3-2x/5+x+1/2=1+3x-5/40

$$\frac { 3 - 2 x } { 5 } + \frac { x + 1 } { 2 } = 1 + \frac { 3 x - 5 } { 40 }$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 5,2,40.

$$8\left(3-2x\right)+20\left(x+1\right)=40+3x-5$$

Use the distributive property to multiply 8 by 3-2x.

$$24-16x+20\left(x+1\right)=40+3x-5$$

Use the distributive property to multiply 20 by x+1.

$$24-16x+20x+20=40+3x-5$$

Combine -16x and 20x to get 4x.

$$24+4x+20=40+3x-5$$

Add 24 and 20 to get 44.

$$44+4x=40+3x-5$$

Subtract 5 from 40 to get 35.

$$44+4x=35+3x$$

Subtract 3x from both sides.

$$44+4x-3x=35$$

Combine 4x and -3x to get x.

$$44+x=35$$

Subtract 44 from both sides.

$$x=35-44$$

Subtract 44 from 35 to get -9.

$$x=-9$$