Solve 45*15%+45*003%50%x=x-40

$$45 \times 15 \% +45 \times 003 \% 50 \% x=x-40$$

Solve for x

$$x = \frac{187}{4} = 46\frac{3}{4} = 46.75$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$45\times \frac{3}{20}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Express 45\times \frac{3}{20} as a single fraction.

$$\frac{45\times 3}{20}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Multiply 45 and 3 to get 135.

$$\frac{135}{20}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Reduce the fraction \frac{135}{20} to lowest terms by extracting and canceling out 5.

$$\frac{27}{4}+45\times 0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Multiply 45 and 0 to get 0.

$$\frac{27}{4}+0\times 0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Multiply 0 and 0 to get 0.

$$\frac{27}{4}+0\times \frac{3}{100}\times \frac{50}{100}x=x-40$$

Multiply 0 and \frac{3}{100} to get 0.

$$\frac{27}{4}+0\times \frac{50}{100}x=x-40$$

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{27}{4}+0\times \frac{1}{2}x=x-40$$

Multiply 0 and \frac{1}{2} to get 0.

$$\frac{27}{4}+0x=x-40$$

Anything times zero gives zero.

$$\frac{27}{4}+0=x-40$$

Add \frac{27}{4} and 0 to get \frac{27}{4}.

$$\frac{27}{4}=x-40$$

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

$$x-40=\frac{27}{4}$$

Add 40 to both sides.

$$x=\frac{27}{4}+40$$

Convert 40 to fraction \frac{160}{4}.

$$x=\frac{27}{4}+\frac{160}{4}$$

Since \frac{27}{4} and \frac{160}{4} have the same denominator, add them by adding their numerators.

$$x=\frac{27+160}{4}$$

Add 27 and 160 to get 187.

$$x=\frac{187}{4}$$