Solve 1/2w-3=11/5-3/4w

$$\frac { 1 } { 2 } w - 3 = \frac { 11 } { 5 } - \frac { 3 } { 4 } w$$

Solve for w

$$w = \frac{104}{25} = 4\frac{4}{25} = 4.16$$

Steps for Solving Linear Equation

Add \frac{3}{4}w to both sides.

$$\frac{1}{2}w-3+\frac{3}{4}w=\frac{11}{5}$$

Combine \frac{1}{2}w and \frac{3}{4}w to get \frac{5}{4}w.

$$\frac{5}{4}w-3=\frac{11}{5}$$

Add 3 to both sides.

$$\frac{5}{4}w=\frac{11}{5}+3$$

Convert 3 to fraction \frac{15}{5}.

$$\frac{5}{4}w=\frac{11}{5}+\frac{15}{5}$$

Since \frac{11}{5} and \frac{15}{5} have the same denominator, add them by adding their numerators.

$$\frac{5}{4}w=\frac{11+15}{5}$$

Add 11 and 15 to get 26.

$$\frac{5}{4}w=\frac{26}{5}$$

Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.

$$w=\frac{26}{5}\times \frac{4}{5}$$

Multiply \frac{26}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$w=\frac{26\times 4}{5\times 5}$$

Do the multiplications in the fraction \frac{26\times 4}{5\times 5}.

$$w=\frac{104}{25}$$