Solve (20*4+30*2)(1+16%)=5*20+30x

$$( 20 \times 4 + 30 \times 2 ) ( 1 + 16 \% ) = 5 \times 20 + 30 x$$

Solve for x

$$x = \frac{52}{25} = 2\frac{2}{25} = 2.08$$

Steps for Solving Linear Equation

Multiply 20 and 4 to get 80. Multiply 30 and 2 to get 60.

$$\left(80+60\right)\left(1+\frac{16}{100}\right)=5\times 20+30x$$

Add 80 and 60 to get 140.

$$140\left(1+\frac{16}{100}\right)=5\times 20+30x$$

Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$140\left(1+\frac{4}{25}\right)=5\times 20+30x$$

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

$$140\left(\frac{25}{25}+\frac{4}{25}\right)=5\times 20+30x$$

Since \frac{25}{25} and \frac{4}{25} have the same denominator, add them by adding their numerators.

$$140\times \frac{25+4}{25}=5\times 20+30x$$

Add 25 and 4 to get 29.

$$140\times \frac{29}{25}=5\times 20+30x$$

Express 140\times \frac{29}{25} as a single fraction.

$$\frac{140\times 29}{25}=5\times 20+30x$$

Multiply 140 and 29 to get 4060.

$$\frac{4060}{25}=5\times 20+30x$$

Reduce the fraction \frac{4060}{25} to lowest terms by extracting and canceling out 5.

$$\frac{812}{5}=5\times 20+30x$$

Multiply 5 and 20 to get 100.

$$\frac{812}{5}=100+30x$$

Swap sides so that all variable terms are on the left hand side.

$$100+30x=\frac{812}{5}$$

Subtract 100 from both sides.

$$30x=\frac{812}{5}-100$$

Convert 100 to fraction \frac{500}{5}.

$$30x=\frac{812}{5}-\frac{500}{5}$$

Since \frac{812}{5} and \frac{500}{5} have the same denominator, subtract them by subtracting their numerators.

$$30x=\frac{812-500}{5}$$

Subtract 500 from 812 to get 312.

$$30x=\frac{312}{5}$$

Divide both sides by 30.

$$x=\frac{\frac{312}{5}}{30}$$

Express \frac{\frac{312}{5}}{30} as a single fraction.

$$x=\frac{312}{5\times 30}$$

Multiply 5 and 30 to get 150.

$$x=\frac{312}{150}$$

Reduce the fraction \frac{312}{150} to lowest terms by extracting and canceling out 6.

$$x=\frac{52}{25}$$