Solve 2(2.2b-1.6+b)=6.4

$$2 ( 2.2 b - 1.6 + b ) = 6.4$$

Solve for b

$$b=1.5$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$2.2b-1.6+b=\frac{6.4}{2}$$

Expand \frac{6.4}{2} by multiplying both numerator and the denominator by 10.

$$2.2b-1.6+b=\frac{64}{20}$$

Reduce the fraction \frac{64}{20} to lowest terms by extracting and canceling out 4.

$$2.2b-1.6+b=\frac{16}{5}$$

Combine 2.2b and b to get 3.2b.

$$3.2b-1.6=\frac{16}{5}$$

Add 1.6 to both sides.

$$3.2b=\frac{16}{5}+1.6$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$3.2b=\frac{16}{5}+\frac{8}{5}$$

Since \frac{16}{5} and \frac{8}{5} have the same denominator, add them by adding their numerators.

$$3.2b=\frac{16+8}{5}$$

Add 16 and 8 to get 24.

$$3.2b=\frac{24}{5}$$

Divide both sides by 3.2.

$$b=\frac{\frac{24}{5}}{3.2}$$

Express \frac{\frac{24}{5}}{3.2} as a single fraction.

$$b=\frac{24}{5\times 3.2}$$

Multiply 5 and 3.2 to get 16.

$$b=\frac{24}{16}$$

Reduce the fraction \frac{24}{16} to lowest terms by extracting and canceling out 8.

$$b=\frac{3}{2}$$