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

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

Solve for x

$$x=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

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

$$2\left(x+3\right)+10x=30+5\left(2x-5\right)$$

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

$$2x+6+10x=30+5\left(2x-5\right)$$

Combine 2x and 10x to get 12x.

$$12x+6=30+5\left(2x-5\right)$$

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

$$12x+6=30+10x-25$$

Subtract 25 from 30 to get 5.

$$12x+6=5+10x$$

Subtract 10x from both sides.

$$12x+6-10x=5$$

Combine 12x and -10x to get 2x.

$$2x+6=5$$

Subtract 6 from both sides.

$$2x=5-6$$

Subtract 6 from 5 to get -1.

$$2x=-1$$

Divide both sides by 2.

$$x=\frac{-1}{2}$$

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

$$x=-\frac{1}{2}$$