Solve 7x+3/2+2=2x-5/5

$$\frac { 7 x + 3 } { 2 } + 2 = \frac { 2 x - 5 } { 5 }$$

Solve for x

$$x = -\frac{45}{31} = -1\frac{14}{31} \approx -1.451612903$$

Steps for Solving Linear Equation

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

$$5\left(7x+3\right)+20=2\left(2x-5\right)$$

Use the distributive property to multiply 5 by 7x+3.

$$35x+15+20=2\left(2x-5\right)$$

Add 15 and 20 to get 35.

$$35x+35=2\left(2x-5\right)$$

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

$$35x+35=4x-10$$

Subtract 4x from both sides.

$$35x+35-4x=-10$$

Combine 35x and -4x to get 31x.

$$31x+35=-10$$

Subtract 35 from both sides.

$$31x=-10-35$$

Subtract 35 from -10 to get -45.

$$31x=-45$$

Divide both sides by 31.

$$x=\frac{-45}{31}$$

Fraction \frac{-45}{31} can be rewritten as -\frac{45}{31} by extracting the negative sign.

$$x=-\frac{45}{31}$$