Solve 5x-8/4-2x-7/3=3.25

$$\frac { 5 x - 8 } { 4 } - \frac { 2 x - 7 } { 3 } = 3.25$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(5x-8\right)-4\left(2x-7\right)=39$$

Use the distributive property to multiply 3 by 5x-8.

$$15x-24-4\left(2x-7\right)=39$$

Use the distributive property to multiply -4 by 2x-7.

$$15x-24-8x+28=39$$

Combine 15x and -8x to get 7x.

$$7x-24+28=39$$

Add -24 and 28 to get 4.

$$7x+4=39$$

Subtract 4 from both sides.

$$7x=39-4$$

Subtract 4 from 39 to get 35.

$$7x=35$$

Divide both sides by 7.

$$x=\frac{35}{7}$$

Divide 35 by 7 to get 5.

$$x=5$$