Solve 2x-3/5+x+4/2=x/10

$$\frac { 2 x - 3 } { 5 } + \frac { x + 4 } { 2 } = x / 10$$

Solve for x

$$x = -\frac{7}{4} = -1\frac{3}{4} = -1.75$$

Steps for Solving Linear Equation

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

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

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

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

Use the distributive property to multiply 5 by x+4.

$$4x-6+5x+20=x$$

Combine 4x and 5x to get 9x.

$$9x-6+20=x$$

Add -6 and 20 to get 14.

$$9x+14=x$$

Subtract x from both sides.

$$9x+14-x=0$$

Combine 9x and -x to get 8x.

$$8x+14=0$$

Subtract 14 from both sides. Anything subtracted from zero gives its negation.

$$8x=-14$$

Divide both sides by 8.

$$x=\frac{-14}{8}$$

Reduce the fraction \frac{-14}{8} to lowest terms by extracting and canceling out 2.

$$x=-\frac{7}{4}$$