Solve 7x-3/2-4x+1/5=1

$$\frac { 7 x - 3 } { 2 } - \frac { 4 x + 1 } { 5 } = 1$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$5\left(7x-3\right)-2\left(4x+1\right)=10$$

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

$$35x-15-2\left(4x+1\right)=10$$

Use the distributive property to multiply -2 by 4x+1.

$$35x-15-8x-2=10$$

Combine 35x and -8x to get 27x.

$$27x-15-2=10$$

Subtract 2 from -15 to get -17.

$$27x-17=10$$

Add 17 to both sides.

$$27x=10+17$$

Add 10 and 17 to get 27.

$$27x=27$$

Divide both sides by 27.

$$x=\frac{27}{27}$$

Divide 27 by 27 to get 1.

$$x=1$$