Solve 0.25(x+2)=0.5(2x-1)

$$0.25(x+2)=0.5(2x-1)$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.25 by x+2.

$$0.25x+0.5=0.5\left(2x-1\right)$$

Use the distributive property to multiply 0.5 by 2x-1.

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

Subtract x from both sides.

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

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

$$-0.75x+0.5=-0.5$$

Subtract 0.5 from both sides.

$$-0.75x=-0.5-0.5$$

Subtract 0.5 from -0.5 to get -1.

$$-0.75x=-1$$

Divide both sides by -0.75.

$$x=\frac{-1}{-0.75}$$

Expand \frac{-1}{-0.75} by multiplying both numerator and the denominator by 100.

$$x=\frac{-100}{-75}$$

Reduce the fraction \frac{-100}{-75} to lowest terms by extracting and canceling out -25.

$$x=\frac{4}{3}$$