Solve (e)0.5x-1.2=0.4x+3.3

$$( e ) 0.5 x - 1.2 = 0.4 x + 3.3$$

Solve for x

$$x=\frac{9}{2\left(\frac{e}{2}-0.4\right)}\approx 4.691698512$$

Steps for Solving Linear Equation

Subtract 0.4x from both sides.

$$e\times 0.5x-1.2-0.4x=3.3$$

Add 1.2 to both sides.

$$e\times 0.5x-0.4x=3.3+1.2$$

Add 3.3 and 1.2 to get 4.5.

$$e\times 0.5x-0.4x=4.5$$

Combine all terms containing x.

$$\left(e\times 0.5-0.4\right)x=4.5$$

The equation is in standard form.

$$\left(\frac{e}{2}-0.4\right)x=4.5$$

Divide both sides by 0.5e-0.4.

$$\frac{\left(\frac{e}{2}-0.4\right)x}{\frac{e}{2}-0.4}=\frac{4.5}{\frac{e}{2}-0.4}$$

Dividing by 0.5e-0.4 undoes the multiplication by 0.5e-0.4.

$$x=\frac{4.5}{\frac{e}{2}-0.4}$$

Divide 4.5 by 0.5e-0.4.

$$x=\frac{9}{2\left(\frac{e}{2}-0.4\right)}$$