Solve 2.8=9(m+2.9)

$$2.8 = 9 ( m + 2.9 )$$

Solve for m

$$m = -\frac{233}{90} = -2\frac{53}{90} \approx -2.588888889$$

Steps for Solving Linear Equation

Divide both sides by 9.

$$\frac{2.8}{9}=m+2.9$$

Expand \frac{2.8}{9} by multiplying both numerator and the denominator by 10.

$$\frac{28}{90}=m+2.9$$

Reduce the fraction \frac{28}{90} to lowest terms by extracting and canceling out 2.

$$\frac{14}{45}=m+2.9$$

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

$$m+2.9=\frac{14}{45}$$

Subtract 2.9 from both sides.

$$m=\frac{14}{45}-2.9$$

Convert decimal number 2.9 to fraction \frac{29}{10}.

$$m=\frac{14}{45}-\frac{29}{10}$$

Least common multiple of 45 and 10 is 90. Convert \frac{14}{45} and \frac{29}{10} to fractions with denominator 90.

$$m=\frac{28}{90}-\frac{261}{90}$$

Since \frac{28}{90} and \frac{261}{90} have the same denominator, subtract them by subtracting their numerators.

$$m=\frac{28-261}{90}$$

Subtract 261 from 28 to get -233.

$$m=-\frac{233}{90}$$