Solve 0.05x-6=0.4(x-8)

$$0.05 x - 6 = 0.4 ( x - 8 )$$

Solve for x

$$x=-8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by x-8.

$$0.05x-6=0.4x-3.2$$

Subtract 0.4x from both sides.

$$0.05x-6-0.4x=-3.2$$

Combine 0.05x and -0.4x to get -0.35x.

$$-0.35x-6=-3.2$$

Add 6 to both sides.

$$-0.35x=-3.2+6$$

Add -3.2 and 6 to get 2.8.

$$-0.35x=2.8$$

Divide both sides by -0.35.

$$x=\frac{2.8}{-0.35}$$

Expand \frac{2.8}{-0.35} by multiplying both numerator and the denominator by 100.

$$x=\frac{280}{-35}$$

Divide 280 by -35 to get -8.

$$x=-8$$