Solve 17.25=3(1+1.75+x)

$$17.25 = 3 ( 1 + 1.75 + x )$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Divide both sides by 3.

$$\frac{17.25}{3}=1+1.75+x$$

Expand \frac{17.25}{3} by multiplying both numerator and the denominator by 100.

$$\frac{1725}{300}=1+1.75+x$$

Reduce the fraction \frac{1725}{300} to lowest terms by extracting and canceling out 75.

$$\frac{23}{4}=1+1.75+x$$

Add 1 and 1.75 to get 2.75.

$$\frac{23}{4}=2.75+x$$

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

$$2.75+x=\frac{23}{4}$$

Subtract 2.75 from both sides.

$$x=\frac{23}{4}-2.75$$

Convert decimal number 2.75 to fraction \frac{275}{100}. Reduce the fraction \frac{275}{100} to lowest terms by extracting and canceling out 25.

$$x=\frac{23}{4}-\frac{11}{4}$$

Since \frac{23}{4} and \frac{11}{4} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{23-11}{4}$$

Subtract 11 from 23 to get 12.

$$x=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$x=3$$