Solve 2(g+-0.6)=2.6

$$2 ( g + - 0.6 ) = 2.6$$

Solve for g

$$g=1.9$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$g-0.6=\frac{2.6}{2}$$

Expand \frac{2.6}{2} by multiplying both numerator and the denominator by 10.

$$g-0.6=\frac{26}{20}$$

Reduce the fraction \frac{26}{20} to lowest terms by extracting and canceling out 2.

$$g-0.6=\frac{13}{10}$$

Add 0.6 to both sides.

$$g=\frac{13}{10}+0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$g=\frac{13}{10}+\frac{3}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{13}{10} and \frac{3}{5} to fractions with denominator 10.

$$g=\frac{13}{10}+\frac{6}{10}$$

Since \frac{13}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.

$$g=\frac{13+6}{10}$$

Add 13 and 6 to get 19.

$$g=\frac{19}{10}$$