Solve 2a+3+3a+5-7-4+7a=1

$$2 a + 3 + 3 a + 5 - 7 - 4 + 7 a = 1$$

Solve for a

$$a=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Combine 2a and 3a to get 5a.

$$5a+3+5-7-4+7a=1$$

Add 3 and 5 to get 8.

$$5a+8-7-4+7a=1$$

Subtract 7 from 8 to get 1.

$$5a+1-4+7a=1$$

Subtract 4 from 1 to get -3.

$$5a-3+7a=1$$

Combine 5a and 7a to get 12a.

$$12a-3=1$$

Add 3 to both sides.

$$12a=1+3$$

Add 1 and 3 to get 4.

$$12a=4$$

Divide both sides by 12.

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

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$a=\frac{1}{3}$$