Solve 1500=12000*(1+0.03*x)

$$1500=12000 \times (1+0.03 \times x)$$

Solve for x

$$x = -\frac{175}{6} = -29\frac{1}{6} \approx -29.166666667$$

Steps for Solving Linear Equation

Divide both sides by 12000.

$$\frac{1500}{12000}=1+0.03x$$

Reduce the fraction \frac{1500}{12000} to lowest terms by extracting and canceling out 1500.

$$\frac{1}{8}=1+0.03x$$

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

$$1+0.03x=\frac{1}{8}$$

Subtract 1 from both sides.

$$0.03x=\frac{1}{8}-1$$

Convert 1 to fraction \frac{8}{8}.

$$0.03x=\frac{1}{8}-\frac{8}{8}$$

Since \frac{1}{8} and \frac{8}{8} have the same denominator, subtract them by subtracting their numerators.

$$0.03x=\frac{1-8}{8}$$

Subtract 8 from 1 to get -7.

$$0.03x=-\frac{7}{8}$$

Divide both sides by 0.03.

$$x=\frac{-\frac{7}{8}}{0.03}$$

Express \frac{-\frac{7}{8}}{0.03} as a single fraction.

$$x=\frac{-7}{8\times 0.03}$$

Multiply 8 and 0.03 to get 0.24.

$$x=\frac{-7}{0.24}$$

Expand \frac{-7}{0.24} by multiplying both numerator and the denominator by 100.

$$x=\frac{-700}{24}$$

Reduce the fraction \frac{-700}{24} to lowest terms by extracting and canceling out 4.

$$x=-\frac{175}{6}$$