Solve 0.5(x-1)=1-0.25(x+3)

$$0.5 ( x - 1 ) = 1 - 0.25 ( x + 3 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.5 by x-1.

$$0.5x-0.5=1-0.25\left(x+3\right)$$

Use the distributive property to multiply -0.25 by x+3.

$$0.5x-0.5=1-0.25x-0.75$$

Subtract 0.75 from 1 to get 0.25.

$$0.5x-0.5=0.25-0.25x$$

Add 0.25x to both sides.

$$0.5x-0.5+0.25x=0.25$$

Combine 0.5x and 0.25x to get 0.75x.

$$0.75x-0.5=0.25$$

Add 0.5 to both sides.

$$0.75x=0.25+0.5$$

Add 0.25 and 0.5 to get 0.75.

$$0.75x=0.75$$

Divide both sides by 0.75.

$$x=\frac{0.75}{0.75}$$

Divide 0.75 by 0.75 to get 1.

$$x=1$$