Solve x*1/2-3/5:8*100/99=88

$$x \cdot \frac { 1 } { 2 } - \frac { 3 } { 5 } : 8 \cdot \frac { 100 } { 99 } = 88$$

Solve for x

$$x = \frac{5813}{33} = 176\frac{5}{33} \approx 176.151515152$$

Steps for Solving Linear Equation

Express \frac{\frac{3}{5}}{8} as a single fraction.

$$x\times \frac{1}{2}-\frac{3}{5\times 8}\times \frac{100}{99}=88$$

Multiply 5 and 8 to get 40.

$$x\times \frac{1}{2}-\frac{3}{40}\times \frac{100}{99}=88$$

Multiply \frac{3}{40} times \frac{100}{99} by multiplying numerator times numerator and denominator times denominator.

$$x\times \frac{1}{2}-\frac{3\times 100}{40\times 99}=88$$

Do the multiplications in the fraction \frac{3\times 100}{40\times 99}.

$$x\times \frac{1}{2}-\frac{300}{3960}=88$$

Reduce the fraction \frac{300}{3960} to lowest terms by extracting and canceling out 60.

$$x\times \frac{1}{2}-\frac{5}{66}=88$$

Add \frac{5}{66} to both sides.

$$x\times \frac{1}{2}=88+\frac{5}{66}$$

Convert 88 to fraction \frac{5808}{66}.

$$x\times \frac{1}{2}=\frac{5808}{66}+\frac{5}{66}$$

Since \frac{5808}{66} and \frac{5}{66} have the same denominator, add them by adding their numerators.

$$x\times \frac{1}{2}=\frac{5808+5}{66}$$

Add 5808 and 5 to get 5813.

$$x\times \frac{1}{2}=\frac{5813}{66}$$

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

$$x=\frac{5813}{66}\times 2$$

Express \frac{5813}{66}\times 2 as a single fraction.

$$x=\frac{5813\times 2}{66}$$

Multiply 5813 and 2 to get 11626.

$$x=\frac{11626}{66}$$

Reduce the fraction \frac{11626}{66} to lowest terms by extracting and canceling out 2.

$$x=\frac{5813}{33}$$