Solve 0.2(g-2)=0.6(g-10)

$$0.2 ( g - 2 ) = 0.6 ( g - 10 )$$

Solve for g

$$g=14$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.2 by g-2.

$$0.2g-0.4=0.6\left(g-10\right)$$

Use the distributive property to multiply 0.6 by g-10.

$$0.2g-0.4=0.6g-6$$

Subtract 0.6g from both sides.

$$0.2g-0.4-0.6g=-6$$

Combine 0.2g and -0.6g to get -0.4g.

$$-0.4g-0.4=-6$$

Add 0.4 to both sides.

$$-0.4g=-6+0.4$$

Add -6 and 0.4 to get -5.6.

$$-0.4g=-5.6$$

Divide both sides by -0.4.

$$g=\frac{-5.6}{-0.4}$$

Expand \frac{-5.6}{-0.4} by multiplying both numerator and the denominator by 10.

$$g=\frac{-56}{-4}$$

Divide -56 by -4 to get 14.

$$g=14$$