Solve 3x-2/5-2x-5/4+6x-5/10=5x+1/8

$$\frac { 3 x - 2 } { 5 } - \frac { 2 x - 5 } { 4 } + \frac { 6 x - 5 } { 10 } = \frac { 5 x + 1 } { 8 }$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 5,4,10,8.

$$8\left(3x-2\right)-10\left(2x-5\right)+4\left(6x-5\right)=5\left(5x+1\right)$$

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

$$24x-16-10\left(2x-5\right)+4\left(6x-5\right)=5\left(5x+1\right)$$

Use the distributive property to multiply -10 by 2x-5.

$$24x-16-20x+50+4\left(6x-5\right)=5\left(5x+1\right)$$

Combine 24x and -20x to get 4x.

$$4x-16+50+4\left(6x-5\right)=5\left(5x+1\right)$$

Add -16 and 50 to get 34.

$$4x+34+4\left(6x-5\right)=5\left(5x+1\right)$$

Use the distributive property to multiply 4 by 6x-5.

$$4x+34+24x-20=5\left(5x+1\right)$$

Combine 4x and 24x to get 28x.

$$28x+34-20=5\left(5x+1\right)$$

Subtract 20 from 34 to get 14.

$$28x+14=5\left(5x+1\right)$$

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

$$28x+14=25x+5$$

Subtract 25x from both sides.

$$28x+14-25x=5$$

Combine 28x and -25x to get 3x.

$$3x+14=5$$

Subtract 14 from both sides.

$$3x=5-14$$

Subtract 14 from 5 to get -9.

$$3x=-9$$

Divide both sides by 3.

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

Divide -9 by 3 to get -3.

$$x=-3$$