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

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

Solve for w

$$w = -\frac{7}{5} = -1\frac{2}{5} = -1.4$$

Steps for Solving Linear Equation

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

$$3\left(7-3w\right)-4\left(4w+5\right)=36$$

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

$$21-9w-4\left(4w+5\right)=36$$

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

$$21-9w-16w-20=36$$

Combine -9w and -16w to get -25w.

$$21-25w-20=36$$

Subtract 20 from 21 to get 1.

$$1-25w=36$$

Subtract 1 from both sides.

$$-25w=36-1$$

Subtract 1 from 36 to get 35.

$$-25w=35$$

Divide both sides by -25.

$$w=\frac{35}{-25}$$

Reduce the fraction \frac{35}{-25} to lowest terms by extracting and canceling out 5.

$$w=-\frac{7}{5}$$