Solve 0.75(x+20)=2+0.5(x-2)

$$0.75(x+20)=2+0.5(x-2)$$

Solve for x

$$x=-56$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.75 by x+20.

$$0.75x+15=2+0.5\left(x-2\right)$$

Use the distributive property to multiply 0.5 by x-2.

$$0.75x+15=2+0.5x-1$$

Subtract 1 from 2 to get 1.

$$0.75x+15=1+0.5x$$

Subtract 0.5x from both sides.

$$0.75x+15-0.5x=1$$

Combine 0.75x and -0.5x to get 0.25x.

$$0.25x+15=1$$

Subtract 15 from both sides.

$$0.25x=1-15$$

Subtract 15 from 1 to get -14.

$$0.25x=-14$$

Divide both sides by 0.25.

$$x=\frac{-14}{0.25}$$

Expand \frac{-14}{0.25} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1400}{25}$$

Divide -1400 by 25 to get -56.

$$x=-56$$