Solve 2.4x=9x1.1-2.7=

$$2.4 x = 9 x 1.1 - 2.7 =$$

Solve for x

$$x=\frac{3\left(x_{1}-3\right)}{8}$$

Steps for Solving Linear Equation

Multiply 9 and 0.1 to get 0.9.

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

The equation is in standard form.

$$2.4x=\frac{9x_{1}-27}{10}$$

Divide both sides of the equation by 2.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.4x}{2.4}=\frac{9x_{1}-27}{2.4\times 10}$$

Dividing by 2.4 undoes the multiplication by 2.4.

$$x=\frac{9x_{1}-27}{2.4\times 10}$$

Divide \frac{9x_{1}-27}{10} by 2.4 by multiplying \frac{9x_{1}-27}{10} by the reciprocal of 2.4.

$$x=\frac{3x_{1}-9}{8}$$

Solve for x_1

$$x_{1}=\frac{8x}{3}+3$$

Steps for Solving Linear Equation

Multiply 9 and 0.1 to get 0.9.

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

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

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

Add 2.7 to both sides.

$$0.9x_{1}=2.4x+2.7$$

The equation is in standard form.

$$0.9x_{1}=\frac{12x}{5}+2.7$$

Divide both sides of the equation by 0.9, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.9x_{1}}{0.9}=\frac{\frac{12x}{5}+2.7}{0.9}$$

Dividing by 0.9 undoes the multiplication by 0.9.

$$x_{1}=\frac{\frac{12x}{5}+2.7}{0.9}$$

Divide \frac{12x}{5}+2.7 by 0.9 by multiplying \frac{12x}{5}+2.7 by the reciprocal of 0.9.

$$x_{1}=\frac{8x}{3}+3$$