Solve 2x+1/5=x-7/2

$$\frac { 2 x + 1 } { 5 } = \frac { x - 7 } { 2 }$$

Solve for x

$$x=37$$

Steps for Solving Linear Equation

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

$$2\left(2x+1\right)=5\left(x-7\right)$$

Use the distributive property to multiply 2 by 2x+1.

$$4x+2=5\left(x-7\right)$$

Use the distributive property to multiply 5 by x-7.

$$4x+2=5x-35$$

Subtract 5x from both sides.

$$4x+2-5x=-35$$

Combine 4x and -5x to get -x.

$$-x+2=-35$$

Subtract 2 from both sides.

$$-x=-35-2$$

Subtract 2 from -35 to get -37.

$$-x=-37$$

Multiply both sides by -1.

$$x=37$$