Solve 3x-5/5-x-3/2=2(x+5)

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

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by 3x-5.

$$6x-10-5\left(x-3\right)=20\left(x+5\right)$$

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

$$6x-10-5x+15=20\left(x+5\right)$$

Combine 6x and -5x to get x.

$$x-10+15=20\left(x+5\right)$$

Add -10 and 15 to get 5.

$$x+5=20\left(x+5\right)$$

Use the distributive property to multiply 20 by x+5.

$$x+5=20x+100$$

Subtract 20x from both sides.

$$x+5-20x=100$$

Combine x and -20x to get -19x.

$$-19x+5=100$$

Subtract 5 from both sides.

$$-19x=100-5$$

Subtract 5 from 100 to get 95.

$$-19x=95$$

Divide both sides by -19.

$$x=\frac{95}{-19}$$

Divide 95 by -19 to get -5.

$$x=-5$$