Solve 1/2(2/3x+75.5)=95.5

$$\frac { 1 } { 2 } ( \frac { 2 } { 3 } x + 75.5 ) = 95.5$$

Solve for x

$$x=173.25$$

Steps for Solving Linear Equation

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$\frac{2}{3}x+75.5=95.5\times 2$$

Multiply 95.5 and 2 to get 191.

$$\frac{2}{3}x+75.5=191$$

Subtract 75.5 from both sides.

$$\frac{2}{3}x=191-75.5$$

Subtract 75.5 from 191 to get 115.5.

$$\frac{2}{3}x=115.5$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=115.5\times \frac{3}{2}$$

Convert decimal number 115.5 to fraction \frac{1155}{10}. Reduce the fraction \frac{1155}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{231}{2}\times \frac{3}{2}$$

Multiply \frac{231}{2} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{231\times 3}{2\times 2}$$

Do the multiplications in the fraction \frac{231\times 3}{2\times 2}.

$$x=\frac{693}{4}$$