Solve 90=1.49x+6%

$$90 = 1.49 x + 6 \%$$

Solve for x

$$x = \frac{8994}{149} = 60\frac{54}{149} \approx 60.362416107$$

Steps for Solving Linear Equation

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$90=1.49x+\frac{3}{50}$$

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

$$1.49x+\frac{3}{50}=90$$

Subtract \frac{3}{50} from both sides.

$$1.49x=90-\frac{3}{50}$$

Convert 90 to fraction \frac{4500}{50}.

$$1.49x=\frac{4500}{50}-\frac{3}{50}$$

Since \frac{4500}{50} and \frac{3}{50} have the same denominator, subtract them by subtracting their numerators.

$$1.49x=\frac{4500-3}{50}$$

Subtract 3 from 4500 to get 4497.

$$1.49x=\frac{4497}{50}$$

Divide both sides by 1.49.

$$x=\frac{\frac{4497}{50}}{1.49}$$

Express \frac{\frac{4497}{50}}{1.49} as a single fraction.

$$x=\frac{4497}{50\times 1.49}$$

Multiply 50 and 1.49 to get 74.5.

$$x=\frac{4497}{74.5}$$

Expand \frac{4497}{74.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{44970}{745}$$

Reduce the fraction \frac{44970}{745} to lowest terms by extracting and canceling out 5.

$$x=\frac{8994}{149}$$