Solve 4x-0.3=0.5x-6

$$4 x - 0.3 = 0.5 x - 6$$

Solve for x

$$x = -\frac{57}{35} = -1\frac{22}{35} \approx -1.628571429$$

Steps for Solving Linear Equation

Subtract 0.5x from both sides.

$$4x-0.3-0.5x=-6$$

Combine 4x and -0.5x to get 3.5x.

$$3.5x-0.3=-6$$

Add 0.3 to both sides.

$$3.5x=-6+0.3$$

Add -6 and 0.3 to get -5.7.

$$3.5x=-5.7$$

Divide both sides by 3.5.

$$x=\frac{-5.7}{3.5}$$

Expand \frac{-5.7}{3.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{-57}{35}$$

Fraction \frac{-57}{35} can be rewritten as -\frac{57}{35} by extracting the negative sign.

$$x=-\frac{57}{35}$$