Solve 5w-2/3-3w-7/4=2

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

Solve for w

$$w=1$$

Steps for Solving Linear Equation

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

$$4\left(5w-2\right)-3\left(3w-7\right)=24$$

Use the distributive property to multiply 4 by 5w-2.

$$20w-8-3\left(3w-7\right)=24$$

Use the distributive property to multiply -3 by 3w-7.

$$20w-8-9w+21=24$$

Combine 20w and -9w to get 11w.

$$11w-8+21=24$$

Add -8 and 21 to get 13.

$$11w+13=24$$

Subtract 13 from both sides.

$$11w=24-13$$

Subtract 13 from 24 to get 11.

$$11w=11$$

Divide both sides by 11.

$$w=\frac{11}{11}$$

Divide 11 by 11 to get 1.

$$w=1$$