Solve a-2a/3+7-3/2+4.8=1

$$a-2 \frac{ a }{ 3 } +7- \frac{ 3 }{ 2 } +4.8 = 1$$

Solve for a

$$a=-27.9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$6\left(a-2\times \frac{a}{3}\right)+42-9+28.8=6$$

Express 2\times \frac{a}{3} as a single fraction.

$$6\left(a-\frac{2a}{3}\right)+42-9+28.8=6$$

Use the distributive property to multiply 6 by a-\frac{2a}{3}.

$$6a+6\left(-\frac{2a}{3}\right)+42-9+28.8=6$$

Cancel out 3, the greatest common factor in 6 and 3.

$$6a-2\times 2a+42-9+28.8=6$$

Multiply -2 and 2 to get -4.

$$6a-4a+42-9+28.8=6$$

Combine 6a and -4a to get 2a.

$$2a+42-9+28.8=6$$

Subtract 9 from 42 to get 33.

$$2a+33+28.8=6$$

Add 33 and 28.8 to get 61.8.

$$2a+61.8=6$$

Subtract 61.8 from both sides.

$$2a=6-61.8$$

Subtract 61.8 from 6 to get -55.8.

$$2a=-55.8$$

Divide both sides by 2.

$$a=\frac{-55.8}{2}$$

Expand \frac{-55.8}{2} by multiplying both numerator and the denominator by 10.

$$a=\frac{-558}{20}$$

Reduce the fraction \frac{-558}{20} to lowest terms by extracting and canceling out 2.

$$a=-\frac{279}{10}$$