Solve 25%x+88(1-x)=165%

$$25 \% x + 88 ( 1 - x ) = 165 \%$$

Solve for x

$$x=\frac{1727}{1755}\approx 0.984045584$$

Steps for Solving Linear Equation

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{4}x+88\left(1-x\right)=\frac{165}{100}$$

Use the distributive property to multiply 88 by 1-x.

$$\frac{1}{4}x+88-88x=\frac{165}{100}$$

Combine \frac{1}{4}x and -88x to get -\frac{351}{4}x.

$$-\frac{351}{4}x+88=\frac{165}{100}$$

Reduce the fraction \frac{165}{100} to lowest terms by extracting and canceling out 5.

$$-\frac{351}{4}x+88=\frac{33}{20}$$

Subtract 88 from both sides.

$$-\frac{351}{4}x=\frac{33}{20}-88$$

Convert 88 to fraction \frac{1760}{20}.

$$-\frac{351}{4}x=\frac{33}{20}-\frac{1760}{20}$$

Since \frac{33}{20} and \frac{1760}{20} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{351}{4}x=\frac{33-1760}{20}$$

Subtract 1760 from 33 to get -1727.

$$-\frac{351}{4}x=-\frac{1727}{20}$$

Multiply both sides by -\frac{4}{351}, the reciprocal of -\frac{351}{4}.

$$x=-\frac{1727}{20}\left(-\frac{4}{351}\right)$$

Multiply -\frac{1727}{20} times -\frac{4}{351} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-1727\left(-4\right)}{20\times 351}$$

Do the multiplications in the fraction \frac{-1727\left(-4\right)}{20\times 351}.

$$x=\frac{6908}{7020}$$

Reduce the fraction \frac{6908}{7020} to lowest terms by extracting and canceling out 4.

$$x=\frac{1727}{1755}$$