Solve 0.07x+0.12(4x+240)=2184.50

$$0.07 x + 0.12 ( 4 x + 240 ) = 2184.50$$

Solve for x

$$x = \frac{43114}{11} = 3919\frac{5}{11} \approx 3919.454545455$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.12 by 4x+240.

$$0.07x+0.48x+28.8=2184.5$$

Combine 0.07x and 0.48x to get 0.55x.

$$0.55x+28.8=2184.5$$

Subtract 28.8 from both sides.

$$0.55x=2184.5-28.8$$

Subtract 28.8 from 2184.5 to get 2155.7.

$$0.55x=2155.7$$

Divide both sides by 0.55.

$$x=\frac{2155.7}{0.55}$$

Expand \frac{2155.7}{0.55} by multiplying both numerator and the denominator by 100.

$$x=\frac{215570}{55}$$

Reduce the fraction \frac{215570}{55} to lowest terms by extracting and canceling out 5.

$$x=\frac{43114}{11}$$