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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 2,4.

$$2\left(5x-1\right)-\left(3x-7\right)=12$$

Use the distributive property to multiply 2 by 5x-1.

$$10x-2-\left(3x-7\right)=12$$

To find the opposite of 3x-7, find the opposite of each term.

$$10x-2-3x-\left(-7\right)=12$$

The opposite of -7 is 7.

$$10x-2-3x+7=12$$

Combine 10x and -3x to get 7x.

$$7x-2+7=12$$

Add -2 and 7 to get 5.

$$7x+5=12$$

Subtract 5 from both sides.

$$7x=12-5$$

Subtract 5 from 12 to get 7.

$$7x=7$$

Divide both sides by 7.

$$x=\frac{7}{7}$$

Divide 7 by 7 to get 1.

$$x=1$$