Solve 2.4x_{1}=9x_{1}.1-2.7

$$2.4 x _ { 1 } = 9 x _ { 1 } .1 - 2.7$$

Solve for x_1

$$x_{1}=-1.8$$

Steps for Solving Linear Equation

Multiply 9 and 0.1 to get 0.9.

$$2.4x_{1}=0.9x_{1}-2.7$$

Subtract 0.9x_{1} from both sides.

$$2.4x_{1}-0.9x_{1}=-2.7$$

Combine 2.4x_{1} and -0.9x_{1} to get 1.5x_{1}.

$$1.5x_{1}=-2.7$$

Divide both sides by 1.5.

$$x_{1}=\frac{-2.7}{1.5}$$

Expand \frac{-2.7}{1.5} by multiplying both numerator and the denominator by 10.

$$x_{1}=\frac{-27}{15}$$

Reduce the fraction \frac{-27}{15} to lowest terms by extracting and canceling out 3.

$$x_{1}=-\frac{9}{5}$$