Solve 6x+24=(1-12%)5x*(1+20%)

$$6 x + 24 = ( 1 - 12 \% ) 5 x \cdot ( 1 + 20 \% )$$

Solve for x

$$x = -\frac{100}{3} = -33\frac{1}{3} \approx -33.333333333$$

Steps for Solving Linear Equation

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$6x+24=\left(1-\frac{3}{25}\right)\times 5x\left(1+\frac{20}{100}\right)$$

Convert 1 to fraction \frac{25}{25}.

$$6x+24=\left(\frac{25}{25}-\frac{3}{25}\right)\times 5x\left(1+\frac{20}{100}\right)$$

Since \frac{25}{25} and \frac{3}{25} have the same denominator, subtract them by subtracting their numerators.

$$6x+24=\frac{25-3}{25}\times 5x\left(1+\frac{20}{100}\right)$$

Subtract 3 from 25 to get 22.

$$6x+24=\frac{22}{25}\times 5x\left(1+\frac{20}{100}\right)$$

Express \frac{22}{25}\times 5 as a single fraction.

$$6x+24=\frac{22\times 5}{25}x\left(1+\frac{20}{100}\right)$$

Multiply 22 and 5 to get 110.

$$6x+24=\frac{110}{25}x\left(1+\frac{20}{100}\right)$$

Reduce the fraction \frac{110}{25} to lowest terms by extracting and canceling out 5.

$$6x+24=\frac{22}{5}x\left(1+\frac{20}{100}\right)$$

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$6x+24=\frac{22}{5}x\left(1+\frac{1}{5}\right)$$

Convert 1 to fraction \frac{5}{5}.

$$6x+24=\frac{22}{5}x\left(\frac{5}{5}+\frac{1}{5}\right)$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$6x+24=\frac{22}{5}x\times \frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$6x+24=\frac{22}{5}x\times \frac{6}{5}$$

Multiply \frac{22}{5} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$6x+24=\frac{22\times 6}{5\times 5}x$$

Do the multiplications in the fraction \frac{22\times 6}{5\times 5}.

$$6x+24=\frac{132}{25}x$$

Subtract \frac{132}{25}x from both sides.

$$6x+24-\frac{132}{25}x=0$$

Combine 6x and -\frac{132}{25}x to get \frac{18}{25}x.

$$\frac{18}{25}x+24=0$$

Subtract 24 from both sides. Anything subtracted from zero gives its negation.

$$\frac{18}{25}x=-24$$

Multiply both sides by \frac{25}{18}, the reciprocal of \frac{18}{25}.

$$x=-24\times \frac{25}{18}$$

Express -24\times \frac{25}{18} as a single fraction.

$$x=\frac{-24\times 25}{18}$$

Multiply -24 and 25 to get -600.

$$x=\frac{-600}{18}$$

Reduce the fraction \frac{-600}{18} to lowest terms by extracting and canceling out 6.

$$x=-\frac{100}{3}$$